SOLUTION: I don't know how to do this problem Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse (x+2)2/48+(y-1)2/20=1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I don't know how to do this problem Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse (x+2)2/48+(y-1)2/20=1      Log On


   



Question 520366: I don't know how to do this problem
Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse
(x+2)2/48+(y-1)2/20=1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know how to do this problem
Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse
(x+2)^2/48+(y-1)^2/20 = 1
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Center: (-2,1)
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major axis: 2a = 2*sqrt(48) = 2*4*sqrt(3) = 8sqrt(3)
minor axis: 2b = 2*sqrt(20) = 2*2*sqrt(5) = 4sqrt(5)
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Foci = ??
a^2 = b^2 + c^2
48 = 20 + c^2
c^2 = 28
c = 2sqrt(7)
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Foci: (-2-2sqrt(7) , 1) and (-2+2sqrt(7) , 1)
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Cheers,
Stan H.
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