Please show all work and not just the answers.

note: -2.5 is equivalent to the fraction -5/2

Explanation:

For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.

The value 5 is two units away from both endpoints 3 and 7.

Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.

The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.

Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.

Put together, the midpoint is located at (-6, -2.5)

If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

the answer will be b x² +x-1

step-by-step explanation: