A hyperbola centered at (4, –1) has a vertex at (4, 6) and a focus at (4, 24). Write the equation of the hyperbola by completing the statements below.

The quantity squared over a squared will be written first in the equation.

The quantity squared over b squared will be written second in the equation.

The value of a is .

The value of b is

6.4

work:

Solve the problem.

Let's start by solving the numerator,

(5 + 3)² step one: add 5 + 3

(8)² step two: simplify 8²

64

now, let's simplify our denominator

1 + 2⁵ - 23 step one: simplify 2⁵.

1 + 32 - 23 step two: add 1 + 32.

33 - 23 step three: subtract 33 - 23

10.

now, put the numerator back over the denominator.

64/10

let's simplify by dividing, we get 6.4.

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