Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.3 - Conics - 4.3 Exercises - Page 338: 53



Work Step by Step

Major axis is horizontal. $(±5,0)=(±a,0)$ $a=5$ $e=\frac{c}{a}$ $\frac{4}{5}=\frac{c}{5}$ $5c=20$ $c=4$ $a^2=b^2+c^2$ $b^2=a^2-c^2=5^2-4^2=25-16=9$ $b=3$ Standard form when major axis is horizontal: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ $\frac{x^2}{5^2}+\frac{y^2}{3^2}=1$ $\frac{x^2}{25}+\frac{y^2}{9}=1$
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