In a hyperbola, the horizontal distance from the center to the vertices is a=8, the vertical distance from the center to the vertices is b=12, the hyperbola opens up and down, and the center is (0,0). Find the equation of the hyperbola.

The equation of the parabola is given as follows;

Step-by-step explanation:

Here we have the general equation of a vertical hyperbola, where the y term is positive is given by the relation;

Where:

(h, k) are the coordinates of the center which is given as (0, 0)

a = Horizontal distance from the center of the hyperbola = 8

b = Vertical distance from the center of the hyperbola = 12

Plugging in the values, we have the equation of the parabola given as follows;

Hence the equation of the parabola is given as follows;

the answer is 175.4379

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.