SOLUTION: Determine an equation for the hyperbola . Foci at (12,0) (-12,0) and transverse axis of length 18

Question 747546: Determine an equation for the hyperbola .
Foci at (12,0) (-12,0) and transverse axis of length 18
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine an equation for the hyperbola .
Foci at (12,0) (-12,0) and transverse axis of length 18
***
Hyperbola has a horizontal transverse axis.
Its standard form of equation: , (h,k)=(x,y) coordinates of center.
..
center: (0,0)
Given length of horizontal transverse axis=18=2a
a=9
a^2=81
c=12 (distance from center to foci on the transverse axis)
c^2=144
c^2=a^2+b^2
b^2=c^2-a^2=144-81=63
Equation of given hyperbola:
RELATED QUESTIONS
If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then... (answered by ikleyn)

Write the equation of an ellipse with foci (0, 18) and (0, �12) and major axis length 34. (answered by lwsshak3)

Find the equation (hyperbola) foci at ( - 3, 1) and (7, 1) and length of the... (answered by MathLover1)

Find the equation of hyperbola, foci at (3,5) and (3,-5), length of transverse axis is... (answered by MathLover1)

Find the equation for the hyperbola with foci (4,6) and (-8,6) and a transverse axis... (answered by lwsshak3)

Find an equation for a hyperbola centered at the origin with a horizontal transverse axis (answered by ewatrrr)

Write an equation of a hyperbola with foci (6,0) and (-6,0) if the length of the... (answered by josgarithmetic)

Find the equation in standard form of the hyperbola that has foci at (8, 1)(-8, 1) and... (answered by MathLover1)

Find the equation for the hyperbola centered at the origin and satisfies these... (answered by lwsshak3)