A rectangle has an area of 12 square centimeters and a perimeter of 16 centimeters. which of the following couldd be its dimensions? a. 2 cm and 6 cm
b. 3 cm and 8 cm
c. 1.5 cm and 8 cm
d. 1 cm and 12 cm

a 2 cm and 6 cm

Step-by-step explanation:

The product of the dimensions must be 12 cm². (All answer choices meet that requirement.)

Opposite sides of a rectangle are the same length, so the sum of the two dimensions must be half the perimeter, 8 cm. The sums of the answer choices are ...

8 cm

7 cm

9.5 cm

13 cm

Only the first answer choice meets the requirement for a perimeter of 16 cm. The dimensions could be 2 cm and 6 cm.

A. 2 cm and 6 cm 6*2=12 (area)

2+2+6+6=16

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.