Find the missing measurement (indicated by a "? ").
***must show all work/steps for credit! also, be sure to provide an explanation of what you are doing!

The missing measurement is 9 miles

Step-by-step explanation:

we know that

The Area of a parallelogram  is equal to

where

b is the length of any base

h is the corresponding altitude

The altitude (or height) of a parallelogram is the perpendicular distance from the base to the opposite side (which may have to be extended).

In the figure, the altitude corresponding to the base is 4 miles

substitute

Solve for b

Divide by 4 both sides

therefore

The missing measurement is 9 miles

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

it is x=-4

step-by-step explanation: