Question

Find an equation of a hyperbola with a=452 units and c=765 units. Assume that the transverse axis is horizontal.
a.x^2/204,304 *y^2/380,921=1
b.x^2/380,921*y^2/204,304=1
c.x^2/452*y^2/313=1
d.x^2/313-y^2/452=1

Answer 1

well this is as simple as pythagorean thm
a^2 +b^2 = c^2

--> b^2 = 765^2 - 452^2

hyperbola equation :
\[\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1\]