SOLUTION: an ellipse has a center (0,0) and foci are located at (0,8) and (0,-8) the length of the major axis is 24 units. fill in the missing denominators for the equation of the ellipse

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Question 879823: an ellipse has a center (0,0) and foci are located at (0,8) and (0,-8) the length of the major axis is 24 units. fill in the missing denominators for the equation of the ellipse
Answer by lwsshak3(11628) About Me  (Show Source):
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an ellipse has a center (0,0) and foci are located at (0,8) and (0,-8) the length of the major axis is 24 units. fill in the missing denominators for the equation of the ellipse
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Given problem has a vertical major axis with center at the origin:
Its standard form of equation: x%5E2%2Fb%5E2%2By%5E2%2Fa%5E2=1
length of vertical major axis=24=2a
a=12
a^2=144
c=8
c^2=64
c^2=a^2-b^2
b^2=a^2-c^2=144-64=80
equation: x%5E2%2F80%2By%5E2%2F144=1