Explanation Consider the equation, x 2 25 + y 2 16 = 1 The standard from of equation of an ellipse when the major axis is horizontal is, x 2 a 2 + y 2 b 2 = 1 And when the major axis is vertical is, x 2 b 2 + y 2 a 2 = 1 Solve the provided equation for y , x 2 25 + y 2 16 = 1 Taking least common multiple as, 16 x 2 + 25 y 2 = 400 Moving one term to other side, 25 y 2 = 400 − 16 x 2 Dividing both sides of the equation by 25, y 2 = 400 − 16 x 2 25 Further solving, y = 400 − 16 x 2 25 So, y = ± 4 5 25 − x 2 Hence, the equations that will be used to determine the graph for the equation x 2 25 + y 2 16 = 1 are, y = − 4 5 25 − x 2 and y = 4 5 25 − x 2

College Algebra Real Mathematics Real People Edition 7

18th Edition

ISBN: 9781305752368

Author: Ron Larson

Publisher: CENGAGE C

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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 4.3, Problem 91E

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The use of graphing utility to check the graph for the equation x225+y216=1, and also, determine the equation that will be enter into the graphing calculator to obtain the graph.

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Chapter 4.3, Problem 90E

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College Algebra Real Mathematics Real People Edition 7

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The use of graphing utility to check the graph for the equation x 2 25 + y 2 16 = 1 , and also, determine the equation that will be enter into the graphing calculator to obtain the graph.

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The use of graphing utility to check the graph for the equation x225+y216=1, and also, determine the equation that will be enter into the graphing calculator to obtain the graph.

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