SOLUTION: Find an equation in standard form for the ellipse that satisfies the given conditions. Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation in standard form for the ellipse that satisfies the given conditions. Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.      Log On


   



Question 1078128: Find an equation in standard form for the ellipse that satisfies the given conditions. Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation in standard form for the ellipse that satisfies the given conditions. Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.
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Center at (-6,1)
major axis length:: 10--8 = 18
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Equation:
(x+6)^2/81 + (y-1)^2/4 = 1
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Cheers
Stan H.
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Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find an equation in standard form for the ellipse that satisfies the given conditions.
Major axis endpoints (-6, 10) and (-6, -8), minor axis length 4.
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The correct answer is 


%28x%2B6%29%5E2%2F4%5E2+%2B+%28y-1%29%5E2%2F9%5E2 = 1,   or


%28x%2B6%29%5E2%2F16+%2B+%28y-1%29%5E2%2F81 = 1.