Question

Please help me I'm struggling and will give 20 points if someone can explain some of these to me. Answer as many as possible and I'll be so grateful. I'm just not understanding and I have a test tomorrow.

1) Factor -6 out of -12y - 42

2) Factor 1/3 out of 2/3p - 15

3) A square wrestling mat has a perimeter of (12x-32) feet. Write an expression that represents the side length of the mat in feet

4) The area of the trapezoids is (3/4x - 1/4) square centimeters. Write two different pairs of expressions that represent possible lengths of the bases.​

Answer 1

1. -6 (2y + 7)

2. 1/3 (2p - 45)

3.
`(12x-32)/(4)`

4. sorry i'm not entirely sure how to do this one...

Explanation:

1. factoring a number out of something is basically just dividing the given set (in this case -12y - 42) by the number you are trying to take out

so divide each part of the equation by -6

-12 ÷ -6 and -42 ÷ -6

now put the -6 out side a parenthesis to get -6 (2y + 7)

2. same thing here

divide both parts by 1/3 so 2/3p ÷ 1/3 and -15 ÷ 1/3

remember when dividing by fractions to flip the fraction and turn the sign to a multiplication sign

so here its the same thing as multiplying the numbers by 3

you should get 1/3 (2p - 45)

3. this one is kinda simple, just take the given equation and divide it by 4

this is because a square has 4 equal sides

so dividing by 4 means that you would get the length og one side

you should get
`(12x-32)/(4)`

4. sorry again idk how to help with this :(