SOLUTION: find an equation of the ellipse having the given foci and sum of focal radii (-5,1), (3,1); 16 and graph it

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find an equation of the ellipse having the given foci and sum of focal radii (-5,1), (3,1); 16 and graph it      Log On


   

Question 847583: find an equation of the ellipse having the given foci and sum of focal radii (-5,1), (3,1); 16 and graph it
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

major axis: 2a = 16, a = 8

(-5,1) and (3,1);   and 8/2 = 4, foci distance from center 

 16+=+64+-b%5E2  b^2 = 48

%28x%2B1%29%5E2%2F64+%2B+%28y+-1%29%5E2%2F48=+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