On a centimeter dot grid, draw all possible rectangles with a perimeter of 16 cm and sides whose lengths are whole centimeter. Label the lengths of two adjacent sides of each rectangle.

See attachment

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all the sides of the rectangle, so it is given by:

where

L is the length

w is the width

In this problem, we want to find all the integer values of L and w such that the perimeter is 16 cm:

This means:

Or:

We have only 4 possible combinations:

L = 7 cm, w = 1 cm

L = 6 cm, w = 2 cm

L = 5 cm, w = 3 cm

L = 4 cm, w = 4 cm

The other combinations with L and w swapped are identical, so we don't include them; therefore, these are the only 4 possible combinations. The 4 possible rectangles are therefore draw in attachment.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )