Online Solving Systems of Linear Equations Tutors

Online Solving Systems of Linear Equations Tutors Linear equations are the equations in which the highest exponent of the variable is 1. Linear equations consist of variables and constants combined together and we can solve a linear equation to find the value of the variable. A system of linear equations consist of more than one linear equation with different variables and this system can be solved in order to find the value of the variables. System of linear equations can be solved graphically or algebraically using different methods to get the value of the variables. Example 1: Solve the system of linear equations, x + y = 5 and x y = 7. We can solve the given system of equations using the Elimination/Addition method. Add the given two equations andthen cancel the y term. This gives: 2x= 5+ 7 = 12. This gives: x = 12/2= 6 ==x = 6. Substitute x = 6 in any of the given two equations. For x+ y = 5== 6+ y = 5 ==y = 5 6==y= -1. Hence the solution: x = 6 and y = -1. Example 2: Solve the system of linear equations, x + y = 4 and x y = 2. We can solve the given system of equations using the Elimination/Addition method. Add the given two equations and then cancel the y term. This gives: 2x= 4+ 2 = 6. This gives: x= 6/2= 3 ==x = 3. Substitute x= 3 in any of the given two equations. For x+ y = 4== 3+ y = 4 ==y = 4 3==y = 1. Hence the solution: x = 3 and y = 1.

Flag Day Fun Facts

Flag Day Fun Facts In the United States, Flag Day falls on June 14th every year. Despite not being a federal holiday, the day is great for celebrating and learning about U.S. history, especially in preparation of July 4th. Exercise your brain muscles a bit and check out these 14 Flag Day fun facts: 1. The U.S. flag, in its first form, was adopted by the Second Continental Congress on June 14th, 1777. John Adams, second President of the U.S., described its thirteen stripes, alternate red and white and thirteen stars, white on a blue field, representing a new constellation. 2. U.S. Congressman Francis Hopkinson, who also signed the Declaration of Independence, is said to have created the first flag. Betsy Ross followed his pattern to sew the first version. 3. The flag was first flown on August 3, 1777, from Fort Stanwix in what became Rome, New York. 4. An 1818 Congressional legislation locked the number of stripes to 13 (to represent the thirteen original colonies) and decreed that the number of stars should equal the number of states in the Union. 5. In 1831, the flag was first nicknamed Old Glory by William Driver of the brig Charles Doggett, a sea captain from Salem, Massachusetts. Stars and Stripes is another common nickname. 6. Bernard J. Cigrand is considered as having an important hand in Flag Day. In 1885, as a high school teacher in Waubeka, Wisconsin, he had students write essays about the U.S. flag, and from then on, advocated to establish the holiday. 7. In 1912, the design of the flag was made official. It changed a total of 27 times, the last of which occurred on July 4th, 1960, to accommodate Hawaii. Robert G. Heft is credited as creator of the current design. 8. President Woodrow Wilson declared Flag Day official in 1916. 9. The first state to make Flag Day an official state holiday was Pennsylvania in 1937, and is currently the only state that observes it as such. 10. It wasnt until 1949 that National Flag Day was passed by Congress. 11. Six American flags, planted by Apollo crews 11, 12, 14, 15, 16, and 17, can be found on the moon. 12. Throughout the U.S., festivals and parades are held to honor the American flag. The annual celebration in Fairfield, Washington has the oldest continuous parade in the U.S. Its first parade transpired in 1909 and has continued each year since except for 1918. 13. Flag Day coincides with the birthday of the U.S. Army, which happened on the same date in 1775. 14. The colors red, white, and blue symbolize valor, purity, and justice, respectively. Check out your community calendar to see if a festival or parade will be held near you. If you own a flag, you might also consider flying it the week of June 14th, which is National Flag Week. If you live near Waubeka, Wisconsin, consider attending festivities put on by the National Flag Day Foundation. Happy Flag Day! Any topics you want to know more about? Let us know! The Varsity Tutors Blog editors love hearing your feedback and opinions. Feel free to email us atblog@varsitytutors.com.

Better and faster essay submissions with Online Tutoring

Better and faster essay submissions with Online Tutoring 0SHARESShare Internet capabilities have given students the opportunity to make the task of studying easier through online tutoring.   Anybody from anywhere can avail of online tutoring as it has now geographical boundaries.   Students can benefit by beating the competition and getting excellent grades in school. Learning can be enjoyable  Writing essays and papers can be a boring task.   The online tutors use innovative methods like games, puzzles, quizzes, memory games, etc to hone the learning skills of a student and also to impart knowledge.   As learning becomes fun, the student is more receptive to instruction and more involved in the assignments.   In this way essay and paper writing can be a pleasure. The deadline can be met very easily Every assignment, including school essays and papers has a deadline.   They have to be submitted within a certain time frame so that they can be checked in time.   For example, to induce a student to prepare an essay, the online tutor may use story writing, riddles, word games, etc.   The answers of the students will form the framework of the essay.   If its math, the online tutor will make it fun with games and puzzles that would complete the assignment in time.   Physics is taught through multimedia to complete the papers. Each online tutoring session is a one-on-one experience and the student benefits from the personal attention that is offered.   A student will not consider homework a drudge with online tutoring. [starbox id=admin]

Guitar Chord Charts 11 Easy Tips to Read Fingering Charts on Acoustic Guitars

Guitar Chord Charts 11 Easy Tips to Read Fingering Charts on Acoustic Guitars Suzy S. While its true that you dont need to read music to play the guitar, you should learn how to  read guitar chord charts. A guitar chord chart is a visual representation of a chord. This helpful visual is a little like music-by-numbers; it tells you which finger goes where  and on what string, so in case you come across a chord you dont know, youll  be able to play it. Heres an example of a guitar chord chart, also known as a guitar chord diagram: Guitar chord charts are a cinch to read once  you learn what all the lines, numbers, and circles mean. Are you ready to start learning how to play songs on the guitar? Here are 11 things you  need to read guitar fingering charts. 11 Tips for Reading a Guitar Chord Chart Visualization The grid of six vertical and five horizontal lines represents the  guitar fretboard. If youre having trouble understanding the basic layout of the  image above, hold your guitar in front of you so that the strings are facing you and  the headstock is pointing up. The image of the guitar chord chart represents this same view of your guitar,  with strings running vertically and frets horizontally. Which End Is Up? Guitar chord charts are  more commonly situated vertically (like above) rather than horizontally, especially  in songbooks. Its good to learn to interpret both vertical and horizontal grids  though. Righty or Lefty? Since guitar chord charts are  typically written for right-handed guitarists, they provide a challenge to left-handed players, who have to do a bit of re-visualization by flipping the chart  around. If a given source doesnt provide a left-handed version, you can download  left-handed guitar chord charts online. Chord Name The letter at the top of the chart is the name of the chord. RELATED: 20 Easy Songs with Basic Guitar Chords Vertical Lines The vertical lines on a guitar fingering chart represent the six strings of the  guitar. The low E string (the thickest one) is on the left of the diagram, followed  by the A, D, G, B and high E string, which is on the right of the diagram. The  string names are sometimes noted at the bottom of the guitar chord chart. Horizontal Lines The horizontal lines on the chart represent the metal frets on  the neck of the guitar. The top line will generally be bolded or marked by a double  line, which indicates the guitars nut. Fret numbers are sometimes noted to the left  of the sixth string. Chords Beyond the 4th Fret If the guitar fingering chart  is depicting frets higher than the fourth  fret, the top line on the chart will not be bolded (or doubled) and fret numbers will  be shown, either to the left of the sixth string or to the right of the first string, to  help orient you on the fretboard. SEE ALSO: How to Read Guitar Tabs Black Dots The black (or red) dots on the diagram tell you  which frets and strings to place your fingers on. The numbers inside the dots  indicate which fingers to use on each of the frets. They correspond to the four  fingers of the fretting hand. Number 1 is the index finger, 2 is the middle finger, 3  is the ring finger, and 4 is your pinky. You dont use the thumb to fret, except in  certain unusual circumstances. In those cases there would be a T inside the black  dot. Fingerings can also sometimes be found written along the bottom of the  strings of a chord chart, or between the nut mark and the chord name instead of  inside the dots. Xs and Os An X above the bolded nut mark indicates a string you dont  pick or strum. An O in the same location means to play the string open. Alternate Fingerings You may come across a suggested chord fingering that  you simply cannot contort your fingers to play. In this case try experimenting with  alternate fingerings. The most commonly used chord fingerings, however, will  work for most guitarists. How a Barre Chord Is Charted As you probably already know, barre chords  are chords that involve using one finger, usually your index finger, to hold down  multiple strings in a single fret simultaneously. A barre is noted on a guitar chord diagram by a curved or solid line running  through a fret from the first note to the last note of the chord, or by a series of dots  in the same fret that all bear the same number. Ready to give it a shot? Check out this infographic from Guitar Domination to learn 32 essential chords. [Preview below] Guitartricks.com is an online subscription service that has provided video guitar lessons for  beginners  and advanced  players since 1998. The site has more than 11,000 video lessons and 600+ song tutorials. Learn more about the site with this Guitar Tricks Review. Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher

Intro to Spanish Cuisine 20+ Traditional Recipes ( Vocab!)

Intro to Spanish Cuisine 20+ Traditional Recipes ( Vocab!) Suzy S. How much do you know about traditional Spanish dishes? Learn about the food culture in Spain, and the recipes to salivate over, in this post The cultural aspects of any language you learn are just as important as its grammar and pronunciation. Especially, when were talking about Spain, with its vibrant traditions and unique style of life! If youre used to having only three meals a day and eating your food in a hurry, Spaniards will teach you how to appreciate every dish.  Locals usually have five mealtimes a day rather than just three! El desayuno (breakfast) is the first meal; its  generally eaten at home and doesnt take too long. It often includes café con leche (coffee with milk), toasts with jam and butter, and magdalenas   freshly baked lemony cupcakes. Magdalenas Time to cook: 30 min Difficulty level: easy Main ingredients: egg, sugar, butter, flour, lemon, milk After working for a few hours, many people  take a break for el almuerzo (mid-morning snack). The typical foods  are all kinds of tapas and bocadillos (sandwiches). Its a very important meal, and one that many people use as networking time with coworkers.  So, if you hear coworkers  say  â€œVamos a tapear!”, grab your jacket and get going. You can also hear the same phrase later in the evening when Spaniards go to their favorite tapas bars. Tortilla española Time to cook: 35 min Difficulty level: easy Main ingredients: egg, potato, onion La comida (lunch time) in Spain can last for up to three  hours. Some office workers prefer to have their lunch at home and most of the time is spent on the commute. Restaurants and cafes will often have a menu del dia that consists of three  or four  courses. You may be offered sopa de ajo (garlic soup), paella de marisco  (seafood paella), and flan  (custard with caramel sauce) for dessert. Paella de marisco Time to cook: 40-50 min Difficulty level: medium Main ingredients: rice, chicken, shrimp, mussels, squid, fish broth If you get hungry at the end of the working day (6pm), you might  have an  afternoon snack called la merienda, to fill the meal gap between lunch and dinner. Its often something sweet, like a pastry, but could also be something savory, like a sandwich. Churros  are a very popular option. If youve never tasted them  before, churros  are fried pastries served hot, similar to  donuts. Muy delicioso! Churros Time to cook: 20 min Difficulty level: easy Main ingredients: flour, water, sugar, oil After work, most people spend the  evening relaxing with friends and family. You might  stay at home and cook something or invite your friends to go out for tapas.  Tapas   smal portions of food that are shared are very popular, and there are dozens of options to suit your cravings. In general, there are no typical dishes for la cena (dinner), but you can expect  smaller portions at this time. Its also served much later than Americans are used to eating dinner think 10pm! Keep Learning:  Check out more Spanish phrases for dining, or learn more about the Spanish culture in our other blog posts! Even More Traditional Spanish Dishes Beyond these, there are many popular dishes that come directly from Spain.  While the origin of churros, for example, is unclear, the 20 dishes listed in the infographic below have strong historical ties to Spain specifically. Follow the numbered guide to see which area the dish is linked to. Which of these traditional Spanish dishes sounds good to you? Here are some links to recipes around the web: Magdalenas, via The Tapas Lunch Company Churros, via The Food Network From the infographic: Caprese empanadas with tomato, mozzarella, and basil, via Laylitas Recipes Tortilla española, via The Kitchn Fabada asturiana, via My Kitchen in Spain Cocido madrieleño, via Devour Madrid Food Tours Paella de marisco, via La Tienda Pulpo a la gallega, via Cool Food Valencia Turron de Alicante, via Serious Eats Pisto, via Spanish Sabores Pa amb Tomàquet, via Back2Spain Cooked egg with jamón ibérico, via  NY Times Cooking Arroz negro, via The Food Network Pork skin chicharron, via  Mexico in My Kitchen Pizza Española With Chorizo and Manchego Cheese, via Enjoying Spanish Recipes Patatas bravas, via May I Have That Recipe Zarangollo, via Native Spain Pringá, via Foods and Wines From Spain Mojo Picón Sauce with Potatoes, via Your Spanish Recipes Arroz a la Cubano, via About Food Ropa vieja, via Arousing Appetites Pinchos Morunos  (Pinchitos), via Spanish Fiestas Your turn share or link to your favorite recipes for Spanish food  with a comment below! Guest Contributor: Martha Simons Martha is a writer and editor at Translateshark, a translation service. She enjoys writing articles on learning languages and translation, reading, and traveling, as a  way to free  her  mind and relax. Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher

Top 5 Learn Arabic Apps

Top 5 Learn Arabic Apps Learn Arabic Online Free ChaptersMobile Arabic Learning AppsBenefits Of Using Mobile Apps To Learn Arabic OnlineMicrolearning With Language AppsWhich Are The Top 5 Apps For Learning Arabic Online?Our Top Picks For Arabic Language AppsThe Top 5 Apps For Learning Arabic OnlineBonus Arabic Learning App (Coming Soon)When I was in my teens I became actively obsessed with travel, by 15, I had already visited 4 countries. Spain, France, Germany and Egypt. Before I started to travel I don’t think I truly understood how important it was to speak different languages.I was already having French and  Arabic lessons  at school but my determination to engage in the actual language learning. Was sparked when I started to travel and got to see how useful language could be. I didn’t have a mobile phone nor any of the fancy learn Arabic apps that exist today. It was all pure classroom learning.My favourite trip of the 4, was the summer spent travelling around Egypt, not because it was better than the others but because it was so completely different from anywhere I had ever been. Mosques rose up from the ground into the sky and historic architecture like the pyramids dominated city skylines.Whenever I was out with my parents, I would listen to the common Arabic being spoken by the locals and repeat after them, in a hope to use memorization as a learning tool. As my parents haggled for souvenirs, I would ask the shopkeeper, how to say different Arabic phases. I would chat with Arabic children and watch TV in the evening to learn how to speak using the official language.This unconventional language training worked and after 2 weeks of travel through the region, I had built up on my knowledge learnt in the classroom and found it possible to communicate confidently as a beginner. I became my parents human Google translator, and although reading and writing was still a huge challenge for me. I could understand more or less what someone was saying when they spoke to me.I didn’t focus on getting the corr ect pronunciation, on reading or writing, but on actively speaking common Arabic phases. I immersed myself in this foreign language never losing an opportunity to work on my proficiency. Being in Egypt taught me how to fully engage, It was a free lesson, but one of the first powerful lessons I had learnt in life. That the language learning experience is amplified by immersion, interaction and lots of practice. In 2 weeks I had learnt more than I had in 2 years of classroom study.The value of the traditional classroom definitely works for some people but I wasn’t one of them, so I set out on a mission to find new, fun and interactive ways to learn languages.It is the time of technology, now you can learn Arabic online. Source: Unsplashwhenever you want to study and they are so much fun. They balance the power of supercharged interactive learning, and gaming.The success of language learning apps is that they focus on making learning fun, accessible and convenient. We can integrate t hem into our lives as we choose to, using them as much or little as our schedule allows. Mobile apps also are full of intelligent technology which keeps track of your progress. Supporting you where you are struggling and challenging you enough to learn new vocabulary and grammar, when you are ready for it.Arabic lessons on the go. Source: UnsplashMicrolearning With Language AppsIf you want to learn to speak a language like Arabic you have to find the time to actually study. If your day is full of school or work, it can seem difficult to find the time to integrate your language learning into your routine.But the power of Language learning apps is that you don’t have to commit to a standard or fixed study time, and they are perfectly suited to the concept of microlearning. Microlearning is effectively using your free time to study. Microlearning fits in between your commute to school or work, it fit in when you are waiting for a bus or train and it fits into the adverts that show in between your favourite show.Microlearning takes just 5 â€" 15 minutes per session, and because it fits into the time when you would not be doing anything anyway, by the end of the day can find that you have studied your chosen language for at least 30minutes. 30 minutes a day of language learning is a perfect investment to get you on the path to learn to speak your new language.If you can allow yourself to get into the habit of using micro learning there is never any pressure to try to find the time. The time is always available and ready for you, just open the app and complete a 5-minute exercise.FreeHelloTalkAndroid and IOSInteract with native speakers anywhere in the world.FreeRosetta StoneAndroid and IOSMulti-device access and TruAccent technologyFirst lesson free*Free means that you have access to large bodies of content to get you started. Apps may add, in-app purchases or upgrades to access more advanced content.The Top 5 Apps For Learning Arabic Online50 LanguagesAndroid an d IOS; Free50 languages will help you, to learn to speak by using a wide range of topics. You can learn about music, sports, emotions, greetings and so on.   The app works offline and lets you take audios with you to listen to as you go about your day. It provides at least 100 lessons to give you beginner level knowledge of Arabic and lets you play fun games practice what you have learnt.MemoriseAndroid and IOS; FreeMemorise is a friendly and simple app that uses the power of your ability to memorise things to teach you have to speak the language it is very thorough. Its interface begins slowly guiding you with simple introductions such as the alphabet, greetings and survival vocabulary. It uses a kind of fun and interactive flashcard based system. If you are interested in games then you can upgrade from the free version and enjoy this additional interaction.BravoLolAndroid and IOS; FreeBravoLol is a fun flashcard-based system that allows you to focus your learning on words that you want to discover. You can create your own flashcards, or use the ones already created in the app. It uses commonly used phrases to help you hit the ground running in your Arabic language learning. BravoLol has an interface that resembles Google Translate and it works offline, so you can access your phases anywhere and anytime.HelloTalkAndroid and IOS; FreeHelloTalk is a chat app that connects you with people who speak Arabic anywhere in the world. HelloTalk makes you into both the student and teacher, as it is purely a language exchange where you learn your chosen language and share your native language with your partner. The interface is similar to many of the most popular chat apps that we use with our friends and family every day. But it provides the extra tools which focus on correction and translation. HelloTalk makes direct learning fun, breaking down the barriers between languages and countries.Rosetta StoneAndroid and IOS; Free first lessonRosetta Stone is an award-winning software that has been running for over 25 years, they are very experienced at teaching Arabic. They give you access to your first lesson free, You can access your learning on multiple devices, They have audios which have the voices of native speakers, perfect your accent with their TruAccent technology, they additionally give you access to a huge library of multimedia content.The Rosetta stone app is not free but they give you a very complete, unlimited and immersive Arabic learning experience.You could certainly use these apps to supplement your learning in your Arabic classes London or anywhere else in the country!Bonus Arabic Learning App (Coming Soon)DuolingoAndroid and IOS; Free first lessonDuolingo does not yet give you access to learn Arabic but they are currently creating the content.   Duolingo teaches you with a game like content base, which is completely free, personalised to you and they offer rewards to keep you motivated.   Duolingo is one of the best language learnin g apps and I have no doubt that their online arabic course will be exceptional once completed.While Arabic language learning apps are a great resource they are just one part of the language learning puzzle. Learning a language requires time, a variety of techniques and dedication on your part to be committed to your learning.So what are you waiting for? Head over the app store right now and download your Arabic language app.Watch Arab movies to improve in the language.Listen to Arabic music too enhance language acquisition.

A History of Space The Major Milestones in Astrophysics and Astronomy.

A History of Space The Major Milestones in Astrophysics and Astronomy. A History of the Great Discoveries in Astrophysics, Astronomy, and Cosmology. ChaptersAristarchus of Samos First Proposes a Heliocentric (Sun-Centred) Universe â€" 270BCTycho Brahe Observes a Supernova â€" 1572The First Refracting Telescope â€" 1608Galileo’s Discoveries Change the Way we Think about the World â€" 1610Isaac Newton Publishes his Book on Gravity â€" 1687William Herschel Discovers Uranus â€" and Extends our Knowledge of the Solar System â€" 1781Joseph van Fraunhofer Builds the First Spectrometer â€" 1814The Largest Telescope Ever Discovers the Whirlpool Galaxy â€" 1845Neptune Discovered â€" 1846Konstantin Tsiolkovsky Theorises (Accurately) the Possibility of Space Flight â€" 1895Einstein’s Theory of Relativity Blows Astrophysical Minds â€" 1905Edwin Hubble Proves that Galaxies Exist beyond Our Own â€" 1923Cecilia Payne Uses Spectroscopy to Show that Stars are Mainly Hydrogen â€" 1925The Discovery of the Big Bang â€" 1927Hans Bethe Explains what Happens in the Centre of the Sun â€" 1938The First Person on the Moon â€" 1969The First Landing on M ars â€" 1971Proof of a Black Hole â€" 1972NASA’s Voyager 1 Leaves the Solar System and Enters Interstellar Space â€" 2013First Image of a Black Hole â€" 2019The history of astronomical science is a fascinating one.To think that the Mayans and the Ancient Greeks used observational techniques and calculations to monitor and even predict orbits and eclipses â€" over two thousand years ago â€" is quite something. And to consider that astrophysicists could postulate the existence of particular planets and stars before they could even see them is pretty cool too.All this knowledge that these days we take for granted â€" that gravity is a thing, that there are eight planets in our solar system, that our galaxy, the Milky Way, is only one of billions â€" had to be discovered. And discovering things like this in physics is really not an easy task.Here we are going to look at the slow development in our knowledge of astronomy and astrophysics. From the days of the first rudimentary telescop es â€" with which we’d stare into the cosmos â€" to now, when we have shuttles outside of our solar system.It’s a long history, and it is based less on genius discoveries â€" although there are some of those â€" and more on the slow accretion and sharing of knowledge. That’s more realistically how an astrophysicist works â€" and how science works in general.Let’s take a look at some of the great steps forward in our cosmological and astrophysical knowledge.Find out everything you need to know about astronomy! PetarPhysics Teacher 5.00 (11) £40/h1st lesson free!Discover all our tutors MyriamPhysics Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors Dr parikhPhysics Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors RubenPhysics Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors FrankPhysics Teacher 5.00 (8) £90/h1st lesson free!Discover all our tutors JidePhysics Teacher 4.80 (5) £30/h1st lesson free!Discover all our tutors Doroth yPhysics Teacher 5.00 (5) £40/h1st lesson free!Discover all our tutors RahulPhysics Teacher £20/h1st lesson free!Discover all our tutorsAristarchus of Samos First Proposes a Heliocentric (Sun-Centred) Universe â€" 270BCAstronomers were hindered for fifteen hundred years due to the influence of Ptolemy, the Greek mathematician, geographer, and astronomy. Whilst undoubtedly an incredibly smart guy, his commitment to the geocentric model of the universe â€" and his general intellectual authority â€" had scientists going in the wrong direction for centuries.Three hundred years before him, Aristarchus, another Greek thinker, had proposed instead the heliocentric model â€" which suggested that the Earth goes around the Sun. If he hadn’t been ignored, this would have been a major scientific breakthrough.Check out the differences between astronomy, astrophysics, and cosmology! The sun is the centre of our solar system - not the EarthTycho Brahe Observes a Supernova â€" 1572It was a common idea among scientists up until this point that ‘the heavens’ could not change. However, Tycho Brahe, the Dutch astronomer shook up this perspective when he witnessed a supernova.At the time, he called it a ‘stella nova’, a new star â€" which influences what we call them now: supernovae. From then on, we realised that things in the universe could indeed change.The First Refracting Telescope â€" 1608At the beginning of what became a revolution in astronomy, a Dutch spectacle-maker named Hans Lippershey attempted to patent a telescope based on refraction.He didn’t succeed â€" but his designs spread across Europe and became the basis for the observational technologies of the future.Galileo’s Discoveries Change the Way we Think about the World â€" 1610We missed out Copernicus, who, in 1543, had suggested that, actually, as Aristarchus had suggested, the Earth goes around the Sun. Yet, his theories did not gain traction until Galileo Galilei finally proved them in 1610.With his own telescope, he found spots on the sun and four of the moons of Jupiter. Not everyone liked his discoveries however, and the Church bothered him all his life â€" claiming that he was a heretic.Find out about our solar system!Isaac Newton Publishes his Book on Gravity â€" 1687One of the great scientific breakthroughs in history came from Isaac Newton â€" yes, the guy with the apple.His discoveries were a little more sophisticated than this, however. His work explained the forces acting between all of the celestial objects, whilst proposing general laws of motion too.His ideas were the basis of physics until Einstein in the early twentieth century. Without the apple, we may never have discovered gravityWilliam Herschel Discovers Uranus â€" and Extends our Knowledge of the Solar System â€" 1781Another break with the physics and astronomy of the ancient world came in 1781, when William Herschel discovered Uranus.The significance of this was greater than just the discovery of another planetary object. This was rather the first time at which scientists had to expand their idea of what the Solar System was â€" as it was previously thought to end at Saturn.Joseph van Fraunhofer Builds the First Spectrometer â€" 1814Into the nineteenth century, inventions abounded. One of the most important of these was Fraunhofer’s spectrometer, the first instrument used to observe and analyse the materials of which stars are made.Stellar spectroscopy analyses the light emitted by stars and, with great sophistication, one can use this evidence to infer the make-up of a distant object’s surface.The Largest Telescope Ever Discovers the Whirlpool Ga laxy â€" 1845Knowledge of galactic distances and structures moved forward with William Parsons’s construction of a mega telescope â€" the biggest such structure created to that day.Through it he could see the Whirlpool Galaxy, over twenty-three million light years away â€" and Parsons was the first person to identify its spiral structure. The thing was, he just didn’t know it was a galaxy.Do you know how a star is formed?Neptune Discovered â€" 1846The amazing thing about the discovery of Neptune is that it was actually discovered without ever having been seen. Rather, two astronomers, John Couch Adams and Urbain Le Verrier, actually inferred its presence â€" as its size means that it has an influence on the orbit of Uranus.In 1846, Johann Galle pointed his telescope in the direction that Le Verrier suggested â€" and, lo and behold, Neptune was there.Take classes here with a Superprof's maths physics tutor. Saturn - image from NASA

Who, Whom or Whose Video and Exercise 1

Who, Whom or Whose Video and Exercise 1 Ask a native English speaker when it is correct to use Who, Whom or Whose, and they probably wont be able to give you a good answer, especially if they are from the United States. Here, we dont use Whom very often anymore, at least not in spoken English. The difference may seem confusing to non-native speakers too, but it is actually very easily explained, as youll see in our video non Who, Whom and Whose below.See if you can choose Who, Whom or Whose correctly below, then watch the video and try the additional exercises.1. (Who/Whom/Whose) rides the bike?2. (Who/Whom/Whose) does the dog love?3. (Who/Whom/Whose) bike is green?Watch the video below to see the answersWho, Whom or Whose video:Choose the correct word below. If you write your answer in comments, we will respond.1.  (Who/Whom/Whose) dog is that?2.  (Who/Whom/Whose) did he give the dog to?3.  (Who/Whom/Whose) was the last person at the office?4.  (Who/Whom/Whose) won best actor at the Oscars?5.  (Who/Whom/Whose) performance do you think was best?6.  (Who/Whom/Whose) do you think the audience liked best? Marie-pierre Kretz Tabellion WHOSE DOG IS THAT ? WHOM DID HE GIVE THE DOG TO ? WHO WAS THE LAST PERSON AT THE OFFICE ? WHO WON BEST ACTOR AT THE OSCARS ? WHOSE PERFORMANCE DO YOU THINK WAS BEST ? WHOM DO YOU THINK THE AUDIENCE LIKED BEST ? LOIEnglish Excellent! Licia Sorry, I dont understand. I know that he/she are SUBJECT pronouns and him/her OBJECT pronouns, isnt it? Thank you for your video and your answer!! LOIEnglish Yes you are correct he/she are SUBJECT pronouns. The SUBJECT pronoun does the action. He jumps off the building. Him/Her are object pronouns. The OBJECT pronoun receives the action. He gave the gift to HER.When using who/whom, who replaces SUBJECT pronouns and who replaces OBJECT pronouns.Hope this helps! hangpham 1.Whose 2.whom 3.who 4.who 5.Whose 6Whom LOIEnglish Nice work! lucia 1.whose dog is that? 2.whom did he give the dog to?3. who was the last person at the office?4.who won best actor at the Oscars?5.whose performance do you think was best?6. whom do you think the audience liked best? LOIEnglish Lucia good work!