SOLUTION: What is the general conic section form equation of this ellipse? Vertices: (22,7), (-8,7) Co-Vertices: (7,17), (7,-3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the general conic section form equation of this ellipse? Vertices: (22,7), (-8,7) Co-Vertices: (7,17), (7,-3)      Log On


   



Question 856826: What is the general conic section form equation of this ellipse?
Vertices: (22,7), (-8,7)
Co-Vertices: (7,17), (7,-3)

Answer by lwsshak3(11628) About Me  (Show Source):
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What is the general conic section form equation of this ellipse?
Vertices: (22,7), (-8,7)
Co-Vertices: (7,17), (7,-3)
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Ellipse has a horizontal major axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=coordinates of center
x-coordinate of center=(22+(-8))/2=14/2=7
y-coordinate of center=7
center: (7,7)
length of major axis=30=2a
a=15
a^2=225
length of minor axis=20=2b
b=10
b^2=100
Equation of given ellipse: %28x-7%29%5E2%2F225%2B%28y-7%29%5E2%2F100=1