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: 46

Answer

$\frac{x^2}{9}+\frac{y^2}{4}=1$

Work Step by Step

Major axis: $Length=2a$ $2a=6$ $a=3$ Minor axis: $Length=2b$ $2b=4$ $b=2$ Foci on x-axis: Major axis in horizontal. Equation of the ellipse: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ $\frac{x^2}{3^2}+\frac{y^2}{2^2}=1$ $\frac{x^2}{9}+\frac{y^2}{4}=1$
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