INTERMEDIATE ALGEBRA
17th Edition
ISBN: 9781947172265
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 11.3, Problem 140E
A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is approximately 10 AU and the furthest is approximately 70 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the planet.
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Chapter 11 Solutions
INTERMEDIATE ALGEBRA
Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the rectangular coordinate system to find the...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Distance Formula to find the distance...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Use the Midpoint Formula to find the midpoint of...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...
Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - Write the standard form of the equation of the...Ch. 11.1 - (a) Find the center and radius, then (b) Graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - Find the center and radius, then (b) graph the...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the distance...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, find the midpoint of...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - the following exercises, write the standard form...Ch. 11.1 - In the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - For the following exercises, write the standard...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - the following exercises, (a) find the center and...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - In the following exercises, (a) find the center...Ch. 11.1 - Explain the relationship between the distance...Ch. 11.1 - Is a circle a function? Explain why or why not.Ch. 11.1 - In your own words, state the definition of a...Ch. 11.1 - In your own words, explain the steps you would...Ch. 11.2 - Graph y=x2+5x6 by using properties.Ch. 11.2 - Graph y=x2+8x12 by using properties.Ch. 11.2 - (a) Write y=2x2+4x+5 in standard form and (b) use...Ch. 11.2 - (a) Write y=2x2+8x7 in standard form and (b) use...Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y2 by using properties.Ch. 11.2 - Graph x=y24y+12 by using properties.Ch. 11.2 - Graph x=y2+2y3 by using properties.Ch. 11.2 - Graph x=3(y1)2+2 using properties.Ch. 11.2 - Graph x=2(y3)2+2 using properties.Ch. 11.2 - Graph x=4(y+2)2+4 using properties.Ch. 11.2 - Graph x=2(y+3)2+2 . using properties.Ch. 11.2 - (a) Write x=3y2+y+7 in standard form and (b) use...Ch. 11.2 - (a) Write x=4y216y12 in standard form and (b) use...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - Find the equation of the parabolic arch formed in...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, graph each equation by...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, (a) write the equation...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - In the following exercises, match each graph to...Ch. 11.2 - ?Write the equation of the parabolic arch formed...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - Write the equation of the parabolic arch formed in...Ch. 11.2 - In your own words, define a parabola.Ch. 11.2 - Is the parabola y=x2 a function? Is the parabola...Ch. 11.2 - Write the equation of a parabola that opens up or...Ch. 11.2 - Explain in your own words, how you can tell from...Ch. 11.3 - Graph: x24+y216=1.Ch. 11.3 - Graph: x29+y216=1.Ch. 11.3 - Graph 9x2+16y2=144.Ch. 11.3 - Graph 16x2+25y2=400.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Find the equation of the ellipse shown.Ch. 11.3 - Graph: ( x+3)24+( y5)216=1.Ch. 11.3 - Graph: ( x1)225+( y+3)216=1.Ch. 11.3 - Graph ( x5)29+( y+4)24=1 by translation.Ch. 11.3 - Graph ( x+6)216+( y+2)225=1 by transaction.Ch. 11.3 - (a) Write the equation 6x2+4y2+12x32y+34=0 in...Ch. 11.3 - (a) Write the equation 4x2+y216x6y+9=0 in standard...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, find the equation of...Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, graph each ellipse....Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, (a) write the equation...Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - In the following exercises, graph the equation....Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A planet moves in an elliptical orbit around its...Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - A comet moves in an elliptical orbit around a sun....Ch. 11.3 - In your own words, define an ellipse and write the...Ch. 11.3 - Explain in your own words how to get the axes from...Ch. 11.3 - Compare and contrast the graphs of the equations...Ch. 11.3 - Explain in your own words, the difference between...Ch. 11.4 - Graph x216y24=1.Ch. 11.4 - x29y216=1.Ch. 11.4 - Graph 4y225x2=100.Ch. 11.4 - Graph 25y29x2=225.Ch. 11.4 - Graph ( x3)225( y1)29=1.Ch. 11.4 - Graph ( x2)24( y2)29=1.Ch. 11.4 - Graph ( y+3)216( x+2)29=1.Ch. 11.4 - Graph ( y+2)29( x+2)29=1.Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Write the equation in standard form and (b) graph...Ch. 11.4 - Identify the graph of each equation as a circle, a...Ch. 11.4 - Identify the graph of each equation as a circle,...Ch. 11.4 - In the following exercises, graph. 147. x29y24=1Ch. 11.4 - In the following exercises, graph. 148. x225y29=1Ch. 11.4 - In the following exercises, graph. 149. x216y225=1Ch. 11.4 - In the following exercises, graph. 150. x29y236=1Ch. 11.4 - In the following exercises, graph. 151. y225x24=1Ch. 11.4 - In the following exercises, graph. 152. y236x216=1Ch. 11.4 - In the following exercises, graph. 153....Ch. 11.4 - In the following exercises, graph. 154....Ch. 11.4 - In the following exercises, graph. 155. 4y29x2=36Ch. 11.4 - In the following exercises, graph. 156....Ch. 11.4 - In the following exercises, graph. 157. 4x216y2=64Ch. 11.4 - AIn the following exercises, graph. 158. 9x24y2=36Ch. 11.4 - In the following exercises, graph. 159. ( x1)216(...Ch. 11.4 - In the following exercises, graph. 160. ( x2)24(...Ch. 11.4 - In the following exercises, graph. 161. ( y4)29(...Ch. 11.4 - In the following exercises, graph. 162. ( y1)225(...Ch. 11.4 - LIn the following exercises, graph. 163. (...Ch. 11.4 - In the following exercises, graph. 164. ( y+1)216(...Ch. 11.4 - In the following exercises, graph. 165. ( y4)216(...Ch. 11.4 - In the following exercises, graph. 166. ( y+3)216(...Ch. 11.4 - In the following exercises, graph. 167. ( x3)225(...Ch. 11.4 - In the following exercises, graph. 168. ( x+2)24(...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, (a) write the equation...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, identify the type of...Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In the following exercises, graph each equation....Ch. 11.4 - In your own words, define a hyperbola and write...Ch. 11.4 - Explain in your own words how to create and use...Ch. 11.4 - Compare and contrast the graphs of the equations...Ch. 11.4 - Explain in your own words, how to distinguish the...Ch. 11.5 - Solve the system by graphing: {x+y=4y=x2+2.Ch. 11.5 - Solve the system by graphing: {xy=1y=x2+3.Ch. 11.5 - Solve the system by graphing: {x=6 (x3 )2+ (y1...Ch. 11.5 - LSolve the system by graphing: {y=4 (x2 )2+ (y+3...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by using substitution:...Ch. 11.5 - Solve the system by elimination: {x2+y2=9x2y=9.Ch. 11.5 - Solve the system by elimination: {x2+y2=1x+y2=1.Ch. 11.5 - Solve the system by elimination: {x2+y2=25x2y2=7.Ch. 11.5 - Solve the system by elimination: {x2+y2=4x2y2=4.Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - The difference of the squares of two numbers is...Ch. 11.5 - Edgar purchased a small 20" TV for his garage. The...Ch. 11.5 - The Harper family purchased a small microwave for...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - In the following exercises, solve the system of...Ch. 11.5 - 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In the following exercises, solve the problem...Ch. 11.5 - In the following exercises, solve the problem...Ch. 11.5 - In your own words, explain the advantages and...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - Explain in your own words how to solve a system of...Ch. 11.5 - A circle and a parabola can intersect in ways that...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, find the midpoint of...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, (a) find the center...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, graph each equation by...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - In the following exercises, create the equation of...Ch. 11 - ]In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, find the equation of...Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, graph each ellipse....Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, write the equation of...Ch. 11 - In the following exercises, graph. 297. x225y29=1Ch. 11 - In the following exercises, graph. 298. y249x216=1Ch. 11 - In the following exercises, graph. 299....Ch. 11 - In the following exercises, graph. 300. 16x24y2=64Ch. 11 - In the following exercises, graph. 301. ( x+1)24(...Ch. 11 - ]In the following exercises, graph. 302. ( x2 ) 2...Ch. 11 - In the following exercises, graph. 303. ( y+2)29(...Ch. 11 - In the following exercises, graph. 304. ( y1)225(...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, (a) write the equation...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, identify the type of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the system of...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, solve the problem...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, find the distance...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, write the standard...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...Ch. 11 - In the following exercises, (a) identify the type...
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- A planet moves in an elliptical orbit around its sun. The closest the planet gets to the sun is approximately 20 Au and the furthest is approximately 30 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below, use the graph to write an equation for the elliptical orbit of the planet.arrow_forwardFind the equation of the parabolic arch formed in the foundation of the bridge shown, Write the equation in standard form.arrow_forwardGraph each ellipse. x236+y225=1arrow_forward
- Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gallery because a person standing at one focus of the room can hear even a whisper spoken by a person standing at the other focus. This occurs because any sound emitted from one focus of an ellipse reflects off the side of the ellipse to the other focus. Statuary Hall is 46 feet wide and 97 feet long. (a) Find an equation that models the shape of the room. (b) How far apart are the two foci? (c) What is the area of the floor of the room? (The area of an ellipse is A=ab.)arrow_forwardFind the equation of the ellipse shown.arrow_forwardWrite an equation in standard form of the hyperbola with vertices (0,4) and (0,4) and a focus at (0,5).arrow_forward
- A comet moves in an elliptical orbit around a sun. The closest the comet gets to the sun is approximately 15 AU and the furthest is approximately 85 AU. The sun is one of the foci of the elliptical orbit. Letting the ellipse center at the origin and labeling the axes in AU, the orbit will look like the figure below. Use the graph to write an equation for the elliptical orbit of the comet.arrow_forwardGraph the ellipse given by the equation (x4)236+(y2)220=1 . Identify and label the center, vertices, co-vertices, and foci.arrow_forward
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What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY