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
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Given problem has a vertical major axis with center at the origin:
Its standard form of equation: {{{x^2/b^2+y^2/a^2=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^2/80+y^2/144=1}}}