SOLUTION: find the formula for a hyperbola with foci on the y axis given that the asymptotes are y=+-5/3x what are the coordinates of the foci (hint leave these radicals they wont be inte

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the formula for a hyperbola with foci on the y axis given that the asymptotes are y=+-5/3x what are the coordinates of the foci (hint leave these radicals they wont be inte      Log On


   

Question 757924: find the formula for a hyperbola with foci on the y axis given that the asymptotes are y=+-5/3x
what are the coordinates of the foci (hint leave these radicals they wont be integers)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the formula for a hyperbola with foci on the y axis given that the asymptotes are y=+-5/3x
what are the coordinates of the foci (hint leave these radicals they wont be integers)
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Given hyperbola has a vertical transverse axis.
Its standard form of equation: %28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center.
Given slope of asymptotes=5x%2F3=a%2Fb
b=3a%2F5x

c=a%2Asqrt%2825x%5E2%2B9%29%2F%285x%29
coordinates of foci: (h, kąc) (coordinates of center not given)