College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 7 - Conic Sections - Exercise Set 7.1 - Page 670: 2

Answer

Foci: $(-3,0)$ and $(3,0)$.

Work Step by Step

Major axis parallel to the x-axis, horizontal $a^{2}=25$ $a=5$ $b^{2}=16,$ $b=4$ Center: (0,0) Vertices: $(h-a, k),\quad (h+a, k) $ $(-5, 0),\quad (5, 0) $ Foci are $c$ units right and $c$ units left of center, where $c^{2}=a^{2}-b^{2}:$ $c^{2}=a^{2}-b^{2}=25-16=9$ $c=3$ Foci: $(-3,0)$ and $(3,0)$.
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