The rectangle shown has an area of 27 cm2 and is modeled by the equation a = 2w2 + 3w, where w is the width. what is the length of the rectangle?

The length of the rectangle is

Step-by-step explanation:

we know that

The area of rectangle is equal to

In this problem we have

so

------> equation A

and

so

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

The solution of the quadratic equation is

Find the value of L

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.