An ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). what is the equation of the ellipse?

 The equation of the ellipse is

Step-by-step explanation:  We are given to find the equation of an ellipse that has a center at the origin, a vertex along the major axis at (13, 0) and a focus at (12, 0).

Since the focus lies on the X-axis, so the standard equation of an ellipse with major axis as X-axis is given by

According to given information, we have

a vertex along the major axis, (a, 0) = (13, 0)  

⇒ length of the major axis, a = 13,

co-ordinates of focus, (c, 0) = (12, 0)

⇒ c = 12.

We know that

Therefore,

Thus, from equation (i), we get

The equation of the ellipse is

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

every 5 customers that walk in, only 2 buy popcorn.

step-by-step explanation:

basically 2/5.

brainliest would be appreciated.