Explanation Given: Observed in the provided diagram of ellipse, the major axis is vertical. The vertices of an ellipse are ( 0 , – a ) and ( 0, a ) , the endpoints of the horizontal minor axis are ( − b , 0 ) and ( b , 0 ) . Thus, the vertices of the provided ellipse are ( 0 , – 2 ) and ( 0 , 2 ) , and the endpoints of the horizontal minor axis are ( – 1 , 0 ) and ( 1 , 0 ) , so a = 2 , b = 1 and center is ( 0 , 0 ) . The foci are located at the points ( 0 , – c ) and ( 0 , c ) , Where, c 2 = a 2 – b 2 . Put the value of a and b in c 2 = a 2 – b 2 and find the value of c , simplify as follows, c 2 = a 2 – b 2 c 2 = 2 2 − 1 2

7th Edition

ISBN: 9780134469164

Author: Robert F. Blitzer

Publisher: PEARSON

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 7.1, Problem 21E

To determine

The standard form of the equation and locate the foci of ellipse.

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Chapter 7.1, Problem 20E

Chapter 7.1, Problem 22E

Chapter 7 Solutions

College Algebra (7th Edition)

Ch. 7.1 - The set of all points in a plane the sum of whose...Ch. 7.1 - Consider the following equation in standard form:...Ch. 7.1 - Prob. 3CVC Ch. 7.1 - Consider an ellipse centered at the origin whose...Ch. 7.1 - Prob. 5CVC Ch. 7.1 - If the center of an ellipse is (3. -2), the major...Ch. 7.1 - Prob. 7CVC Ch. 7.1 - In he equation 3(x2 + 4x) + (4y2 - 2y) = 32 we...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 2E

Ch. 7.1 - Prob. 3E Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E Ch. 7.1 - Prob. 11E Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - In Exercises 1-18, graph each ellipse and locate...Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - In Exercises 19-24, find the standard form of the...Ch. 7.1 - In Exercises 19- find the standard form of the...Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - In Exercises 25-36, find the standard form of die...Ch. 7.1 - Prob. 30E Ch. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - In Exercises 25-36, find the standard form of the...Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - Prob. 61E Ch. 7.1 - Prob. 62E Ch. 7.1 - Prob. 63E Ch. 7.1 - Prob. 64E Ch. 7.1 - Prob. 65E Ch. 7.1 - Prob. 66E Ch. 7.1 - Prob. 67E Ch. 7.1 - Prob. 68E Ch. 7.1 - Prob. 69E Ch. 7.1 - A semielliptic archway has a height of 20 feet and...Ch. 7.1 - Prob. 71E Ch. 7.1 - Prob. 72E Ch. 7.1 - Prob. 73E Ch. 7.1 - Describe how to graph x225+y216=1.Ch. 7.1 - Prob. 75E Ch. 7.1 - Describe one similarity and one difference between...Ch. 7.1 - Prob. 77E Ch. 7.1 - Prob. 78E Ch. 7.1 - Use a graphing utility to graph any five of the...Ch. 7.1 - Use a graphing utility to graph any three of the...Ch. 7.1 - Prob. 81E Ch. 7.1 - Prob. 82E Ch. 7.1 - Prob. 83E Ch. 7.1 - Prob. 84E Ch. 7.1 - Prob. 85E Ch. 7.1 - Prob. 86E Ch. 7.1 - Prob. 87E Ch. 7.1 - Prob. 88E Ch. 7.1 - The equation of the red ellipse in the figure...Ch. 7.1 - Prob. 90E Ch. 7.1 - Prob. 91E Ch. 7.1 - Prob. 92E Ch. 7.1 - Prob. 93E Ch. 7.1 - Prob. 94E Ch. 7.1 - Prob. 95E Ch. 7.1 - Exercises 94-96 will help you prepare for the...Ch. 7.2 - Fill in each blank so that the resulting statement...Ch. 7.2 - The vertices of x225y29=1 are ____________ and...Ch. 7.2 - Prob. 3CVC Ch. 7.2 - Prob. 4CVC Ch. 7.2 - Prob. 5CVC Ch. 7.2 - Prob. 6CVC Ch. 7.2 - Prob. 7CVC Ch. 7.2 - Prob. 8CVC Ch. 7.2 - Prob. 9CVC Ch. 7.2 - In the equation 9(x2 - 8x) - 16(y2 + 2y) = 16, we...Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - In Exercises 5-12, find the standard form of the...Ch. 7.2 - Prob. 10E Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Radio lowers a and b, 200 kilometers apart, are...Ch. 7.2 - Prob. 63E Ch. 7.2 - Prob. 64E Ch. 7.2 - Prob. 65E Ch. 7.2 - Prob. 66E Ch. 7.2 - Prob. 67E Ch. 7.2 - Prob. 68E Ch. 7.2 - Prob. 69E Ch. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Describe one similarity and one difference between...Ch. 7.2 - Prob. 72E Ch. 7.2 - In 1992, a NASA team began a project called...Ch. 7.2 - Prob. 74E Ch. 7.2 - Prob. 75E Ch. 7.2 - Prob. 76E Ch. 7.2 - Prob. 77E Ch. 7.2 - Prob. 78E Ch. 7.2 - Prob. 79E Ch. 7.2 - Prob. 80E Ch. 7.2 - Prob. 81E Ch. 7.2 - Prob. 82E Ch. 7.2 - Prob. 83E Ch. 7.2 - Prob. 84E Ch. 7.2 - Prob. 85E Ch. 7.2 - In Exercises 85-88, determine whether each...Ch. 7.2 - Prob. 87E Ch. 7.2 - In Exercises 85- determine whether each statement...Ch. 7.2 - What happens to the shape of the graph of...Ch. 7.2 - Prob. 90E Ch. 7.2 - Prob. 91E Ch. 7.2 - Prob. 92E Ch. 7.2 - Prob. 93E Ch. 7.2 - Prob. 94E Ch. 7.2 - Prob. 95E Ch. 7.2 - Prob. 96E Ch. 7.2 - Isolate the terms involving y on the left side of...Ch. 7.3 - The set of all points in a plane that are...Ch. 7.3 - The equation of the parabola is of the form a. y2...Ch. 7.3 - Prob. 3CVC Ch. 7.3 - Prob. 4CVC Ch. 7.3 - Prob. 5CVC Ch. 7.3 - Prob. 6CVC Ch. 7.3 - Prob. 7CVC Ch. 7.3 - Prob. 8CVC Ch. 7.3 - Use the graph shown to answer Exercises 6-9. If 4p...Ch. 7.3 - Prob. 10CVC Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - Prob. 5E Ch. 7.3 - Prob. 6E Ch. 7.3 - In Exercises 5-16, find me focus and directrix of...Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30. find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - In Exercises 17-30, find the standard form of the...Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Prob. 26E Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - Prob. 32E Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - In Exercises 42, find the vertex, focus, and...Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 51E Ch. 7.3 - Prob. 52E Ch. 7.3 - In Exercises 49-56, identify each equation without...Ch. 7.3 - Prob. 54E Ch. 7.3 - Prob. 55E Ch. 7.3 - Prob. 56E Ch. 7.3 - Prob. 57E Ch. 7.3 - Prob. 58E Ch. 7.3 - In Exercises 57-62, use the vertex and the...Ch. 7.3 - Prob. 60E Ch. 7.3 - Prob. 61E Ch. 7.3 - In Exercises 57- use the vertex and the direction...Ch. 7.3 - Prob. 63E Ch. 7.3 - Prob. 64E Ch. 7.3 - Prob. 65E Ch. 7.3 - Prob. 66E Ch. 7.3 - Prob. 67E Ch. 7.3 - Prob. 68E Ch. 7.3 - Prob. 69E Ch. 7.3 - The reflector of a flashlight is in the shape of a...Ch. 7.3 - Prob. 71E Ch. 7.3 - Prob. 72E Ch. 7.3 - Prob. 73E Ch. 7.3 - Prob. 74E Ch. 7.3 - Prob. 75E Ch. 7.3 - Prob. 76E Ch. 7.3 - Prob. 77E Ch. 7.3 - Explain how to use y2 = 8x to find the parabolas...Ch. 7.3 - Prob. 79E Ch. 7.3 - Describe one similarity and one difference between...Ch. 7.3 - Prob. 81E Ch. 7.3 - Prob. 82E Ch. 7.3 - Prob. 83E Ch. 7.3 - Prob. 84E Ch. 7.3 - Prob. 85E Ch. 7.3 - Prob. 86E Ch. 7.3 - Prob. 87E Ch. 7.3 - Prob. 88E Ch. 7.3 - Prob. 89E Ch. 7.3 - Prob. 90E Ch. 7.3 - Prob. 91E Ch. 7.3 - Prob. 92E Ch. 7.3 - Prob. 93E Ch. 7.3 - In Exercises 97, determine whether each statement...Ch. 7.3 - In Exercises 94-97, determine whether each...Ch. 7.3 - Prob. 96E Ch. 7.3 - Prob. 97E Ch. 7.3 - Prob. 98E Ch. 7.3 - Prob. 99E Ch. 7.3 - Consult the research department of your library or...Ch. 7.3 - Prob. 101E Ch. 7.3 - Prob. 102E Ch. 7.3 - Prob. 103E Ch. 7.3 - Prob. 104E Ch. 7.3 - Exercises 104-106 will help you prepare for the...Ch. 7.3 - Exercises 104-will help you prepare for the...Ch. 7 - In Exercises 1-5, graph each ellipse. Give the...Ch. 7 - Prob. 2MCCP Ch. 7 - Prob. 3MCCP Ch. 7 - Prob. 4MCCP Ch. 7 - Prob. 5MCCP Ch. 7 - Prob. 6MCCP Ch. 7 - Prob. 7MCCP Ch. 7 - Prob. 8MCCP Ch. 7 - In Exercises 6-11. graph each hyperbola. Give the...Ch. 7 - Prob. 10MCCP Ch. 7 - Prob. 11MCCP Ch. 7 - Prob. 12MCCP Ch. 7 - Prob. 13MCCP Ch. 7 - Prob. 14MCCP Ch. 7 - In Exercises 12-18, graph each equation, x2 + 4y2...Ch. 7 - Prob. 16MCCP Ch. 7 - In Exercises 12-18, graph each equation. x2 + 4(y...Ch. 7 - Prob. 18MCCP Ch. 7 - Prob. 19MCCP Ch. 7 - Prob. 20MCCP Ch. 7 - Prob. 21MCCP Ch. 7 - Prob. 22MCCP Ch. 7 - A semielliptical archway over a one-way road has a...Ch. 7 - Prob. 24MCCP Ch. 7 - Prob. 25MCCP Ch. 7 - Prob. 1RE Ch. 7 - Prob. 2RE Ch. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - In Exercises 1-8, graph each ellipse and locate...Ch. 7 - Prob. 5RE Ch. 7 - Prob. 6RE Ch. 7 - Prob. 7RE Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Prob. 10RE Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - An elliptical pool table has a ball placed at each...Ch. 7 - Prob. 15RE Ch. 7 - Prob. 16RE Ch. 7 - Prob. 17RE Ch. 7 - Prob. 18RE Ch. 7 - In Exercises 15-22, graph each hyperbola. Locate...Ch. 7 - Prob. 20RE Ch. 7 - Prob. 21RE Ch. 7 - Prob. 22RE Ch. 7 - In Exercises 24, find the standard form of the...Ch. 7 - Prob. 24RE Ch. 7 - Prob. 25RE Ch. 7 - Prob. 26RE Ch. 7 - Prob. 27RE Ch. 7 - Prob. 28RE Ch. 7 - Prob. 29RE Ch. 7 - Prob. 30RE Ch. 7 - Prob. 31RE Ch. 7 - Prob. 32RE Ch. 7 - Prob. 33RE Ch. 7 - Prob. 34RE Ch. 7 - In Exercises 34- find the standard form of the...Ch. 7 - Prob. 36RE Ch. 7 - Prob. 37RE Ch. 7 - Prob. 38RE Ch. 7 - Prob. 39RE Ch. 7 - Prob. 40RE Ch. 7 - Prob. 41RE Ch. 7 - Prob. 42RE Ch. 7 - Prob. 1T Ch. 7 - Prob. 2T Ch. 7 - Prob. 3T Ch. 7 - Prob. 4T Ch. 7 - Prob. 5T Ch. 7 - Prob. 6T Ch. 7 - Prob. 7T Ch. 7 - Prob. 8T Ch. 7 - Identify the conic represented by x2 + 9y2 + 10x -...Ch. 7 - Prob. 10T Ch. 7 - Prob. 11T Ch. 7 - Prob. 1CRE Ch. 7 - Prob. 2CRE Ch. 7 - Prob. 3CRE Ch. 7 - Prob. 4CRE Ch. 7 - Prob. 5CRE Ch. 7 - Prob. 6CRE Ch. 7 - Prob. 7CRE Ch. 7 - Prob. 8CRE Ch. 7 - Prob. 9CRE Ch. 7 - Prob. 10CRE Ch. 7 - Prob. 11CRE Ch. 7 - Prob. 12CRE Ch. 7 - Prob. 13CRE Ch. 7 - Prob. 14CRE Ch. 7 - Prob. 15CRE Ch. 7 - Prob. 16CRE Ch. 7 - Expand using logarithmic properties. Where...Ch. 7 - Prob. 18CRE Ch. 7 - Prob. 19CRE Ch. 7 - The local cable television company offers two...

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The standard form of the equation and locate the foci of ellipse.

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Chapter 7 Solutions