Question 616273
the ellipse is center at the origin. the legnth of its horizontal axis is 8,and the length of its vertical axis is 6.what is the equation for the ellipse
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standard form of equation for an ellipse with horizontal major axis:
(x-h)^2/a^2+(y-k)^2/b^2=1, (a>b), (h,k)=(x,y) coordinates of center
For given problem:
center: (0,0)
length of horizontal major axis=8=2a
a=4
a^2=16
..
length of vertical or minor axis=6=2b
b=3
b^2=9
..
equation:
x^2/16+y^2/9=1