Question

HYPERBOLA Q!! Find an equation for a horizontal hyperbola with vertices that are 20 units apart from each other and foci 30 units apart each other?? im lost on this any help is appreciated !!!

Answers

Place the vertices at (10,0) and (-10,0) and the foci
at (15,0) and (-15,0).
That will place the centre conveniently at (0,0)
and a = 10, c = 15
for a hyperbola:
a^2 + b^2 = c^2
100 + c^2 = 225
b^2 = 115

equation:
x^2/100 - y^2/115 = 1

Now, wasn't that easy?
thankyou!!!! i think you meant 225-100 = 125, but other than that this helped me out sm!!! thanks!!!
see, you understand this, or else you would not have caught my typo.

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