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.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix C - Graphs of Second-Degree Equations - C Exercises - Page A23: 15
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