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Question 527607: Write the equation for the hyperbola that satisfies the conditions: vertices (-5, 0) and (5, 0), conjugate axis of length 12 units.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation for the hyperbola that satisfies the conditions: vertices (-5, 0) and (5, 0), conjugate axis of length 12 units.
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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
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For given hyperbola:
center: (0,0)
length of vertex=10=2a
a=5
a^2=25
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length of conjugate axis=12=2b
b=6
b^2=36
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Equation of given hyperbola:
(x-0)^2/25-(y-0)^2/36=1
x^2/25-y^2/36=1
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