I need help plz with this
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Fun!
The center of the hyperbola is the midpoint of its foci. The distance between the foci is 43-9=34. So they're 17 from the center.
We have coordinates
F1(0,17)
F2(0,-17)
Let's call the vertex of the hyperbola V. We have
V(0,13)
This is a vertical hyperbola so the equation is of the form
The vertices for a vertical hyperbola like this are (0, a) and (0,-a)
So we have a=13
The distance c from the foci to the center is given by
That says our hyperbola's equation is
That's our answer.