SOLUTION: 1. The equation of an ellipse is given by (x+2)^2/49 + (y-4)^2/25=1 .
a.) Identify the coordinates of the center of the ellipse.
b.) Find the lengths of the major and minor axes
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Question 752171: 1. The equation of an ellipse is given by (x+2)^2/49 + (y-4)^2/25=1 .
a.) Identify the coordinates of the center of the ellipse.
b.) Find the lengths of the major and minor axes.
c.) Graph the ellipse.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1. The equation of an ellipse is given by (x+2)^2/49+(y-4)^2/25=1.
Given ellipse has a horizontal major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of center.
..
a.) Identify the coordinates of the center of the ellipse.
center: (-2,4)
b.) Find the lengths of the major and minor axes.
a^2=49
a=√49=7
length of major axis=2a=14
b^2=25
b=5
length of minor axis=2b=10
c.) Graph the ellipse
see graph below:
(25-25(x+2)^2/49)^.5+4
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