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: 47


Eccentricity: $e=\frac{c}{a}=\frac{\sqrt {29}}{6}$ Vertices: $(±6,0)$

Work Step by Step

$7x^2+36y^2=252$ $\frac{x^2}{36}+\frac{y^2}{7}=1$ $\frac{x^2}{6^2}+\frac{y^2}{(\sqrt 7)^2}=1$ The major axis is horizontal. Standard form when major axis is horizontal: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ So: $a=6$ and $b=\sqrt 7$ $a^2=b^2+c^2$ $c^2=a^2-b^2=36-7=29$ $c=\sqrt {29}$ $e=\frac{c}{a}=\frac{\sqrt {29}}{6}$ Vertices when major axis is horizontal: $(±a,0)=(±6,0)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.