SOLUTION: Put ellipse into standard form vertices:(15, 5), (1,5) foci:(8+ √13,5), (8- √13,5)

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Question 852474: Put ellipse into standard form vertices:(15, 5), (1,5) foci:(8+ √13,5), (8- √13,5)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

vertices:(15, 5), (1,5)  

          C(8,5)   %2815+%2B+1%29%2F2+=+8, a = 7  (8+7 = 15)

 %28x-8%29%5E2%2F7%5E2+%2B+%28y-5%29%5E2%2Fb%5E2+=+1+ 

foci:(8+ √13,5), (8- √13,5) ± sqt%2813%29+=+sqrt%287%5E2-b%5E2%29 b = 6

%28x-8%29%5E2%2F7%5E2+%2B+%28y-5%29%5E2%2F6%5E2+=+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