SOLUTION: Write an equation of each ellipse with the given characteristics in standard form. Foci (5,0), (-5,0) Co vertices (0,2), 0,-2)

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Question 868741: Write an equation of each ellipse with the given characteristics in standard form.
Foci (5,0), (-5,0)
Co vertices (0,2), 0,-2)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of each ellipse with the given characteristics in standard form.
Foci (5,0), (-5,0)
Co vertices (0,2), 0,-2)
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Given hyperbola has a horizontal transverse axis with center at the origin.
Its standard form of equation: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1, (h,k)=coordinates of center
center:(0,0)
b=2
b^2=4
c=5
c^2=25
c^2=a^2+b^2
a^2=c^2-b^2=25-4=21
equation: x%5E2%2F21-y%5E2%2F4=1