SOLUTION: Find the equation of the ellipse with vertices (5,1) and (-3,1) and foci (3,1) and (-1,1). Someone please help!!

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Question 113833: Find the equation of the ellipse with vertices (5,1) and (-3,1) and foci (3,1) and (-1,1).
Someone please help!!

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
the general equation for an ellipse is

this is an ellipse with a semimajor axis a and semiminor axis b, centered at the point (h,k)

if c is the distance from the center to a focus, then b^2=a^2-c^2

the center is midway between the foci (1,1)
___ a is the distance from center to vertex 4
___ c=2, so b^2=(4^2-2^2) ___ b^2=12


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