SOLUTION: find an equation of the ellipse having the given foci and sum of focal radii (6,0),(6,6);10

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Question 847579: find an equation of the ellipse having the given foci and sum of focal radii (6,0),(6,6);10
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

major axis: 2a = 10, a = 5

(6,0)and(6,6)   and 6/2 = 3, foci distance from center 

 9+=+25+-b%5E2  b^2 = 16

%28x-6%29%5E2%2F25%2B+%28y-3%29%5E2%2F16=+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