Simplify 2(x – 4) + 32: Simplify 9x + 4(x + 2) – 5:

Step-by-step explanation:

1)  

2(x – 4) + 32

Multiply it out.

2 * x - 2 * 4 + 32

2x - 8 + 32  

2x + 24

2)

9x + 4(x + 2) – 5

Multiply it out

9x + 4 * x + 4 * 2 - 5

9x + 4x + 8 - 5

13x + 3

-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