SOLUTION: Write an equation for the hyperbola that satisfies the given set of conditions. vertices (16,0) and (-16,0), conjugate axis of length 10 units

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Question 769525: Write an equation for the hyperbola that satisfies the given set of conditions.
vertices (16,0) and (-16,0), conjugate axis of length 10 units

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for the hyperbola that satisfies the given set of conditions.
vertices (16,0) and (-16,0), conjugate axis of length 10 units.
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Given hyperbola has a horizontal transverse axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center
center:(0,0)
a=16 (distance from center to vertices)
a^2=256
length of conjugate axis=10=2b
b=5
b^2=25
Equation of given hyperbola:
x%5E2%2F256-y%5E2%2F25=1