SOLUTION: 1. The equation of an ellipse is given by (x+2)^2/25 + (y-1)^2/16=1 a. Give the coordinates of the center of the ellipse. b. Give the length of the major and minor axes. c. Give

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 1. The equation of an ellipse is given by (x+2)^2/25 + (y-1)^2/16=1 a. Give the coordinates of the center of the ellipse. b. Give the length of the major and minor axes. c. Give      Log On


   



Question 616156: 1. The equation of an ellipse is given by (x+2)^2/25 + (y-1)^2/16=1
a. Give the coordinates of the center of the ellipse.
b. Give the length of the major and minor axes.
c. Give the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.
I believe a)(-2,1)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
%28x%2B2%29%5E2%2F25+%2B+%28y-1%29%5E2%2F16=1is %28x%2B2%29%5E2%2F5%5E2+%2B+%28y-1%29%5E2%2F4%5E2=1
a. Give the coordinates of the center of the ellipse. Yes! C(-2,1)
b. Give the length of the major axes 2%2A5+=+10and minor axes2%2A4+=+8
c. Give the coordinates of the foci. sqrt%2825-16%29+=+sqrt%289%29=+3
Foci lie 3 on either side of Center along major axis F(1,1) and (-5,1)