Which of the following lines is parallel to x = 8? (2 points) 3y = 16 x = 7 x = y y = 8

x = 7

Step-by-step explanation:

The vertical line x = 8 has an undefined slope.

For the line to be parallel to another line, it has to have the same slope.

x = 7 also has an undefined slope, and it is a vertical line. Therefore, it is parallel to line x = 8.

x = 7

Step-by-step explanation:

The line x = 7 must be parallel to the line x = 8 so that we have an undefined slope. To check a line parallel to x = 8, It should start with x = some number having an undefined slope.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .