the area of a parallelogram is 12x² + 38x + 20 square inches. it's base is 3x + 2 inches. find its height.

4x+10

Step-by-step explanation:

3x *4x=12x²,so you can know the next

h = 4x+10

Step-by-step explanation:

a = b(h)

h = a/b

Sub:

a = 12x^2 + 38x + 20

b = 3x + 2

12x^2 + 38x + 20 = 3x + 2 * h

Rewrite:

h = 12x^2 + 38x + 20 / 3x + 2

Solve:

2(3x+2)(2x+5)  / 3x+2

2(2x+5) = 4x + 10

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.