SOLUTION: Dear Sir/Madam, A pleasant day! Please help me with this math problem, this is something new to me. Here is the problem: Center (1, -2) , transverse axis parallel to the

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Dear Sir/Madam, A pleasant day! Please help me with this math problem, this is something new to me. Here is the problem: Center (1, -2) , transverse axis parallel to the      Log On


   



Question 812879: Dear Sir/Madam,
A pleasant day! Please help me with this math problem, this is something new to me. Here is the problem:
Center (1, -2) , transverse axis parallel to the x-axis, Transverse axis = 6, conjugate axis = 10. Find the equation of the hyperbola.
Thank you very much for your help!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Center (1, -2) , transverse axis parallel to the x-axis, Transverse axis = 6, conjugate axis = 10. Find the equation of the hyperbola.
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Standard form of equation for a hyperbola with horizontal transverse axis:
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y)coordinates of center
center:(1,-2) (given)
tranverse axis=6=2a
a=3
a^2=9
conjugate axis=10=2b
b=5
b^2=25
equation:
%28x-1%29%5E2%2F9-%28y%2B2%29%5E2%2F25=1