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 339: 71

Answer

Vertices: $(±5,0)$ Asymptotes: $y=±x~~$ (Black lines)
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Work Step by Step

Standard form when transverse axis is horizontal: $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ $a^2=25$ $a=5$ $b^2=25$ $b=5$ Vertices when transverse axis is horizontal: $(±a,0)=(±5,0)$ Asymptotes when transverse axis is horizontal: $y=±\frac{b}{a}x=±\frac{5}{5}x$ $y=±x$
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