SOLUTION: Find the equation with a Foci of (-6,0) and (6,0) and an x-intercept of (-8,0) and (8,0) Thanks!

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Question 838345: Find the equation with a Foci of (-6,0) and (6,0) and an x-intercept of (-8,0) and (8,0)
Thanks!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation with a Foci of (-6,0) and (6,0) and an x-intercept of (-8,0) and (8,0)
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Equation is that of an ellipse with horizontal major axis and center at the origin.
Its standard form: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1
length of major axis=16=2a
a=8
a^2=64
foci: ±6
c=6
c^2=36
c^2=a^2-b^2
b^2=a^2-c^2=64-36=28
Equation:x%5E2%2F64%2By%5E2%2F28=1