Write the equation of the ellipse that has a center at (5,6), a focus at (-1,6), and a vertex at (-2,6).

Step-by-step explanation:

The equation of the ellipse can be found in the form

where is the center of the ellipse.

The distance from the center to the focus is c:

The distance from the center to the vertex is a:

Since

we have that

Hence, the equation of the ellipse is

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x