SOLUTION: Find the equations of the hyperbola satisfying the given conditions. Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0). Please help! I have a test tomorrow and have no ide

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equations of the hyperbola satisfying the given conditions. Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0). Please help! I have a test tomorrow and have no ide      Log On


   



Question 860016: Find the equations of the hyperbola satisfying the given conditions.
Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0).
Please help! I have a test tomorrow and have no idea how to solve this kind of problem! Thanks!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equations of the hyperbola satisfying the given conditions.
Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0).
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given hyperbola has a horizontal transverse axis with center at origin.
Its standard form of equation: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1
a=2
a^2=4
slopes of asymptotes=±3/2=b/a
b=±3a/2=±3
b^2=9
Equation of given hyperbola: x%5E2%2F4-y%5E2%2F9=1