Determine the equation of the hyperbola.

A) x²/9 -y²/4 = 1

Step-by-step explanation:

The distance from center to one vertex is half the difference of the distances from a point to either focus. That is, the distance from center to the vertex is 3 on the x-axis, so the x-term is (x/3)² = x²/9.

In the picture, ...

... c² = a² + b²

The problem statement tells us c = √13, so we know c² = 13. Then ...

... b² = c² - a² = 13 -9 = 4

and the y-term is y²/4.

Thus, the equation is ...

... x²/9 - y²/4 = 1

_____

You knew that was the correct choice as soon as you knew the x-term.

answer: i think the answer is etheir c or d but i don't know which one but have a good day!

step-by-step explanation:

no solution

step-by-step explanation:

there is not enough information in the problem to solve.