Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 13 - Conic Sections - 13.2 Conic Sections: Ellipses - 13.2 Exercise Set - Page 861: 6

Answer

False statement

Work Step by Step

Identify $a\text{ and }b$ in equation $\frac{{{x}^{2}}}{25}-\frac{{{y}^{2}}}{9}=1$. $\frac{{{x}^{2}}}{{{\left( 5 \right)}^{2}}}-\frac{{{y}^{2}}}{{{\left( 3 \right)}^{2}}}=1$ Since ${{a}^{2}}>{{b}^{2}}$, the equation of the hyperbola will be horizontal. Since $a=5\text{ and }b=3$, the x-intercepts are $\left( -5,0 \right)\text{ and }\left( 5,0 \right)$ and the y-intercepts are $\left( 0,-3 \right)\text{ and }\left( 0,3 \right)$. Plot the points and connect them with the oval shape curve. Thus, the equation $\frac{{{x}^{2}}}{25}-\frac{{{y}^{2}}}{9}=1$, so it is a false statement.
Small 1566382389
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.