SOLUTION: "write an equation for the ellipse that satisfies the given set of conditions endpoints of major axis at (-7,2) and (5,2) endpoints of minor axis at (-1,0) and (-1, 4) "

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: "write an equation for the ellipse that satisfies the given set of conditions endpoints of major axis at (-7,2) and (5,2) endpoints of minor axis at (-1,0) and (-1, 4) "      Log On


   



Question 904970: "write an equation for the ellipse that satisfies the given set of conditions endpoints of major axis at (-7,2) and (5,2) endpoints of minor axis at (-1,0) and (-1, 4) "
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
"write an equation for the ellipse that satisfies the given set of conditions endpoints of major axis at (-7,2) and (5,2) endpoints of minor axis at (-1,0) and (-1, 4) "
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Given ellipse has a horizontal major axis:
ts standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E3%2Fb%5E2=1, a>b, (h,k)=coordinates of center
...
center:(-1,1.5)
length of horizontal major axis=12(5 to -7)=2a
a=6
a^2=36
length of minor axis=4(0 to 4)=2b
b=2
b^2=4
equation: %28x%2B1%29%5E2%2F36%2B%28y-1.5%29%5E2%2F4=1