Use the graph below to answer the question that follows:
what is the average rate of change between the interval of x = 0 and x = pi/2?
a) 2/pi
b) pi/2
c) pi/4
d) 4/pi

the correct answer is option D.

Step-by-step explanation:

average rate of change in the graph in interval x = 0 and x = pi/2

when we look into the graph between interval x = 0 and x = pi/2

we can see that on y - axis  

at  x = 0                value of   y = 3   and

at  x = π/2             value of   y = 5  

rate of change =

                        =

                        =

                        = 4/π

hence, the correct answer comes out to be 4/π

hence, the correct answer is option D.

answer:     true

step-by-step explanation:

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 .