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Question 524275: Write and equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write and equation of an ellipse in standard form with the center at the origin and a height of 4 units and width of 5 units.
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This is an equation of an ellipse with horizontal major axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1, With (h,k) being the (x,y) coordinates of the center.
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For given equation:
Center: (0,0) (given)
length of horizontal major axis=5=2a
a=5/2
a^2=25/4
length of minor axis=4=2b
b=2
b^2=4
Equation:
x^2/(25/4)+y^2/4=1
4x^2/25+y^2/4=1
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