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Question 482101: A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A standard form equation for the ellipse with foci (0,+ or - 3)and major axis length 10 is?
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Standard form of an equation for an ellipse with vertical major axis: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given equation:
center: (0,0)
given length of major axis=10=2a
a=5
a^2=25
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Foci:
c=3
c^2=a^2-b^2
b^2=a^2-c^2=25-9=16
..
Equation:
x^2/16+y^2/25=1
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