SOLUTION: 13) Write the equation for a hyperbola with the following:
a. foci at (±5, 7) and vertices at (±3, 7)
b. a horizontal transverse axis, a = 5 and c = 13
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-> SOLUTION: 13) Write the equation for a hyperbola with the following:
a. foci at (±5, 7) and vertices at (±3, 7)
b. a horizontal transverse axis, a = 5 and c = 13
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Question 756556: 13) Write the equation for a hyperbola with the following:
a. foci at (±5, 7) and vertices at (±3, 7)
b. a horizontal transverse axis, a = 5 and c = 13 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Write the equation for a hyperbola with the following:
a. foci at (±5, 7) and vertices at (±3, 7)
Given hyperbola has a horizontal transverse axis.
Its standard form of equation: , (h,k)=(x,y) coordinates of center
y-coordinate of center=7
x-coordinate of center=0 (midpoint of vertices or foci)
center:(0,7)
a=3 (distance from center to vertices)
a^2=9
c=5 (distance from center to foci)
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-9=16
Equation of given hyperbola:
..
b. a horizontal transverse axis, a = 5 and c = 13
b^2=c^2-a^2=169-25=144
center not given, assume (0,0)
Equation:
(