Write an equivalent expression for -6(-7+2z)
Explain in full steps

42 - 14z

Step-by-step explanation:

We can find an equivalent expression by using distributive property

Distributive property: whenever there is a number outside of the parenthesis you multiply that number by whatever is in the parenthesis

So for -6(-7+2z) we would multiply the number outside of the parenthesis (-6) by what's inside of the parenthesis ( -7 and 2z )

-6 * -7 = 42

-6 * 2z = -14z

An equivalent expression would be 42 - 14z

42 - 14z

Step-by-step explanation:

-6 x -7 = 42

-6 x 2z = -14z

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3