because of the fact the vertices and the foci are on the comparable axis (the y axis) the hyperbola has the final equation; y^2/a^2 - x^2/b^2 = a million because of the fact the vertex is at (0,10) it potential that a=10 the asymptote has the equation y=ax/b meaning that; a/b=5/6 10/b=5/6 b=12 so the hyperbolas equation is; y^2/one hundred - x^2/one hundred forty four=a million i myself desire i substitute into sparkling adequate

The transverse axis is vertical. The center is (0,0). The equation is

y^2 / a^2 - x^2 / b^2 = 1 where ± a/b is the slope of the asymptotes.

So y^2 / 25 - x^2 / 16 = 1.

I think anyway, see what you think.