Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 9 - Analytic Geometry - Cumulative Review - Review Exercises - Page 719: 13

Answer

$\frac{x^2}{16}+\frac{y^2}{7}=1$ See graph.

Work Step by Step

1. Based on the given conditions, the ellipse has a horizontal major axis with center $(0,0)$ (midpoint between the two foci), thus we have a general form $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ 2. With $c=3, a=4$, we have $b^2=a^2-c^2=7$, thus the equation $\frac{x^2}{16}+\frac{y^2}{7}=1$ 3. See graph.
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