The equation y²/8² - x²/b² represents a hyperbola centered at the origin with a focus of (0, - 10).

What is the value of b?

4

6

10

12

b = 6

Step-by-step explanation:

You probably already know the general equation from the my last couple of answer.

In this question, we have:

a=8

b=?

c = - 10, c is the value of the foci

surprisingly, you can solve the value for a, b, and c using the same equation as the Pythagorean theorem.

c² = a² + b²

we need to solve for b so lets rearrange the equation.

b² = c² - a²

b = ±√ (c² - a²)

b = ±√ ((-10) ² - (8) ²)

b = ±√ ((-10) ² - (8) ²)

b = ±√ (100 - 64)

b = ±√ (36)

b = ±6

b = 6

Answer: 6