SOLUTION: Find the equation of the horizontal hyperbola that has its center at (0,0), its straight side is 6
units and its eccentricity is √7/2.
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Question 1194068: Find the equation of the horizontal hyperbola that has its center at (0,0), its straight side is 6
units and its eccentricity is √7/2.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The standard equation for a hyperbola with a horizontal transverse axis is
given:
center at (,)=> and
its straight side is units : a latus rectum (literally, “straight side”).
the latus rectum of a hyperbola is
its eccentricity is => and
substitute in latus rectum formula
then your equation is:
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