What is the rate of change from x = 0 to x = pi over 2? trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4

8/pi

Step-by-step explanation:

To find the rate of change from 0 to pi/2  we need the values at 0 and pi/2

f(0) = -4

f(pi/2) = 0

rate of change = change in f(x)/ change in x

                        = (f(x2) -f(x1))/( x2-x1)

                        = (0--4) / (pi/2 - 0)

                         = (0+4) / (pi/2)

                        = 4 / (pi/2)

                          = 8/pi

what are the options? ?

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.