The length of one base of a trapezoid is 7mm less than twice the length of the other base. The height of the trapezoid is 12mm. The area of the trapezoid is 48 square mm. Find the length in millimeters of the longer base. (Please show step by step)

The length of the longer base is 5mm.

Step-by-step explanation:

The area of a trapezoid:

With the given information, we can write some equations to represent the problem:

There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:

Now, plug that back into the first equation to solve for the other variable:

Now we have the measures of both of the bases.

To check that, calculate the area using these bases:

It works fine.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

ion

step-by-step explanation:

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