SOLUTION: Graph the ellipse and identify the center,vertrices,foci and endpoints of 25x^2+9y^2=225

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Question 743371: Graph the ellipse and identify the center,vertrices,foci and endpoints of 25x^2+9y^2=225
Answer by lwsshak3(11628) About Me  (Show Source):
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Graph the ellipse and identify the center,vertrices,foci and endpoints of
25x%5E2%2B9y%5E2=225
x%5E2%2F9%2By%5E2%2F25=1
This ellipse has a vertical major axis.
Its standard form of equation: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center
center: (0,0)
a^2=25
a=5
vertices: (0,0±a)=(0,0±5)=(0,-5) and (0,5)
..
b^2=9
b=3
end points of minor axis: (0±b,0)=(0±3,0)=(-3,0) and (3,0)
..
c^2=a^2-b^2=25-9=16
c=4
foci: (0,0±c)=(0,0±4)=(0,-4) and (0,4)