An astronaut drops a rock off the edge of a cliff on an alien moon. The distance, d(t) in meters, the rock travels after"t" seconds can be modeled by the function d(t)=-0.3(t)^2+90. How high is the cliff from the surface of the moon, and how do you know? What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

17 1/3

step-by-step explanation:

hreryryrranswer:

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.

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.