College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 7, Conic Sections - Section 7.2 - Ellipses - 7.2 Exercises - Page 563: 35

Answer

The graph of $\frac{x^2}{25}+\frac{y^2}{20}=1$

Work Step by Step

$25\gt20$: major axis is horizontal. $a^2=25$ $a=5$ Vertices: $(±5,0)$ Also, when $x=0$: $\frac{0^2}{25}+\frac{y^2}{20}=1$ $y^2=20$ $y=±\sqrt {20}\approx±4.472$ It gives us the endpoints of the minor axis: $(0,±4.472)$
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