Question 470793: Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0). Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0)
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Standard form of ellipse with vertical major axis and center at the origin:
x^2/b^2+y^2/a^2=1, a>b
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2a=length of major axis=10
a=5
a^2=25
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2b=length of minor axis=8
b=4
b^2=16
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Equation: x^2/16+y^2/25=1
See graph below as a visual check on the answer
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y=±(25-25x^2/16)^.5
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