SOLUTION: find an equation of the ellipse having the given foci and sum of focal radii (0,0),(0,8);12 and graph it

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Question 847580: find an equation of the ellipse having the given foci and sum of focal radii (0,0),(0,8);12 and graph it
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi(0,0),(0,8);



major axis: 2a = 12, a = 6

and C(0,4)   and 8/2 = 4, foci distance from center 

 16+=+36+-b%5E2  b^2 = 20

x%5E2%2F20+%2B+%28y-4%29%5E2%2F36+=+1 







Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

where Pt(h,k) is the center. (a variable positioned to correspond with major axis)

 a and b  are the respective vertices distances from center

 and ±sqrt%28a%5E2-b%5E2%29are the foci distances from center: a > b