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

since its horizontal, the a^2 goes under the x^2
to find b^2, use a^2 +b^2 = c^2

Answer 2

can u explain it, cause my teacher didnt explain it that well

Answer 3

not much more to explain
for a hyperbola opening in horizontal direction:
\[\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1\]
a^2 +b^2 = c^2
you are given a and c, solve for b

Answer 4

Would it be C?