SOLUTION: Give the equation X^2+4y^2=16 find: a. The center C (use (,)) b. Length of major axis c. Length of minor axis d. Distance from C to foci c hint: divide by 16

Question 1118319: Give the equation
X^2+4y^2=16 find:
a. The center C (use (,))
b. Length of major axis
c. Length of minor axis
d. Distance from C to foci c
hint: divide by 16
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The "x-0" and "y-0" mean the center of the ellipse is (h,k) = (0,0).

a. Answer: the center is C(0,0).

The denominators are the squares of the semi-major and semi-minor axes. So the semi-major axis is 4 (in the x direction) and the semi-minor axis is 2 (in the y direction). So the lengths of the major and minor axes are 8 and 4.

b,c. Answer: major axis 8; minor axis 4.

"c" is the distance from the center of the ellipse to either focus; for an ellipse, c^2 = a^2 + b^2.

d. Answer: the distance from the center to each focus is
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