Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

APPENDIX C - Graphs of Second-Degree Equations - C Exercises - Page A 23: 15

Answer

Hyperbola

Work Step by Step

Given: $16x^{2}-25y^{2}=400$ Divide both sides by $400$ $\frac{16x^{2}}{400}-\frac{25y^{2}}{400}=1$ $\frac{x^{2}}{5^{2}}-\frac{y^{2}}{4^{2}}=1$ which is the standard form of the equation of a hyperbola.
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