In the diagram below, wha is the relationship between the number of rectangles and the perimeter of the figure they form.

The 4th table: (rectangles, perimeter) = (1, 16), (2, 20), (3, 24)

Explanation:

The sums of the numbers shown in each figure are 8, 10, 12. In each case, this sum is half the perimeter of the figure, so the perimeter values are 16, 20, 24.

Only the 4th table shows these values for perimeter.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

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