Asap:
write an equation of hyperbola with foci at (-1, 1) and (5, 1) and vertices at (0, 1) and (4, 1)

The answer to your question is

Step-by-step explanation:

Data

Foci   (-1, 1) and (5, 1) [A and B]

Vertices (0, 1) and (4, 1)  [C and D]

See the image below. From the image we can conclude that it is a horizontal hyperbola.

Equation

From the image calculate the center

The center is in the middle of the vertices   (2, 1)

Now, calculate a, a is the distance from the center to the vertices, a = 2

Calculate c, c is the distance from the center to the foci, c = 3

Calculate b with the pythagorean theorem    c² = a² + b²

                                                                          b² = c² - a²

                                                                          b² = 3² - 2²

                                                                          b² = 9 - 4

                                                                          b² = 5

Substitution

the answer is 175.4379

step-by-step explanation:

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.