Question 650457: write an equation for the hyperbola that satisfies the given set of conditions.
vertices (23,0) and (-23,0), conjugate axis of 4 units.
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! write an equation for the hyperbola that satisfies the given set of conditions.
vertices (23,0) and (-23,0), conjugate axis of 4 units.
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Standard form of equation for a hyperbola with horizontal transverse axis:
, (h,k)=(x,y) coodinates of center
For given problem:
center:(0,0)
length of horizontal transverse axis=46 (-23 to 23)=2a
a=23
a^2=529
..
length of conjugate axis=4=2b
b=2
b^2=4
..
Equation of given hyperbola:
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