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

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

anonymous · Answer

well this is as simple as pythagorean thm
a^2 +b^2 = c^2

--> b^2 = 765^2 - 452^2

hyperbola equation :
x2a2−y2b2=1

*dumbcow

anonymous · Answer

$$b^2=c^2-a^2=380921
$$

anonymous · Answer

It should be a.

anonymous · Answer

$$
\frac {x^2}{a^2}- \frac {y^2}{b^2}= 1\
\frac {x^2}{204304}- \frac {y^2}{380921}= 1\

$$