SOLUTION: Find the standard form of the equation of the hyperbola with the given charateristics and center at the origin Foci:(+-10,0) Asymptotes:y=+-3x
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Question 691434: Find the standard form of the equation of the hyperbola with the given charateristics and center at the origin Foci:(+-10,0) Asymptotes:y=+-3x Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the standard form of the equation of the hyperbola with the given charateristics and center at the origin Foci:(+-10,0) Asymptotes:y=+-3x
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This is a hyperbola with horizontal transverse axis.
Its standard form of equation: (x-h)^2/a^2-(y-k)^2/b^2=1
For given hyperbola:
center: (0,0)
slope of asymptotes=±3=b/a (for hyperbolas with horizontal transverse axis)
b=±3a
c=10 (distance from center to foci)
c^2=a^2+b^2=a^2+9a^2=10a^2
100=10a^2
a^2=10
a=√10
b^2=c^2-a^2=100-10=90
equation: x^2/10-y^2/90=1
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