Question 562473: what is the equation for a hyperbola with a center (0,0) co-vertex (o,-9)and focus (-41,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! what is the equation for a hyperbola with a center (0,0) co-vertex (o,-9)and focus (-41,0)
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Standard form of equation for a hyperbola with horizontal transverse axis:
(x-h)^2/a^2-(y-k)^2/b^2=1, (h,k) being the (x,y) coordinates of the center.
For given hyperbola:
center: (0,0)
length of conjugate axis(co-vertex)=18=2b
b=9
b^2=81
c=41
c^2=a^2+b^2
a^2=c^2-b^2=41^2-81=1681-81=1600
a=40
Equation:
x^2/1600-y^2/81=1
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