Question 660422: find the equation of the hyperbola with the given characteristics vertices: (+/- 5,0) ,foci: (+/- 8,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find the equation of the hyperbola with the given characteristics vertices: (+/- 5,0) ,foci: (+/- 8,0)
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This is an equation of a hyperbola with horizontal transverse axis.
Its standard form:  , (h,k)=(x,y) coordinates of the center
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center:(0,0)
length of horizontal transverse axis=10 (-5 to 5)=2a
a=5
a^2=25
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c=8 (distance from center to foci)
c^2=64
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c^2=a^2+b^2
b^2=c^2-a^2=64-25=39
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equation:
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