SOLUTION: E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20 Find an equation for the indicated conic section

Question 684975: E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20
Find an equation for the indicated conic section
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
E is the ellipse with foci at (4,-2) and (4,8) and whose major axis has length of 20
Find an equation for the indicated conic section
**
This is an ellipse with vertical major axis.
Its standard form of equation:, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (4,3)
given length of vertical major axis=20=2a
a=10
a^2=100
c=5 (distance from center to foci)
c^2=25
c^2=a^2-b^2
b^2=a^2-c^2=100-25=75
Equation of given ellipse:

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