SOLUTION: Write an equation for an ellipse with major axis of length 10 and foci at (5,2) and (-1,2).

Question 708016: Write an equation for an ellipse with major axis of length 10 and foci at (5,2) and (-1,2).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write an equation for an ellipse with major axis of length 10 and foci at (5,2) and (-1,2).
Foci data shows given ellipse has a horizontal major axis. (x changes but y does not)
Its standard form:, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
y-coordinate of center=2
x-coordinate=midpoint between (-1 and 5)=2
center: (2,2)
given length of horizontal major axis=10=2a
a=5
a^2=25
Foci
2c=6 (-1 to 5)
c=3
c^2=9
c^2=a^2-b^2
b^2=a^2-c^2=25-9=16
b=√16=4
Equation of given ellipse:

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