Expand. If necessary, combine like terms. (x+7)^2

=x ^2+14x+49

Step-by-step explanation:

left parenthesis, start color #11accd, a, end color #11accd, plus, start color #ed5fa6, b, end color #ed5fa6, right parenthesis, squared, equals, start color #11accd, a, end color #11accd, squared, plus, 2, start color #11accd, a, end color #11accd, start color #ed5fa6, b, end color #ed5fa6, plus, start color #ed5fa6, b, end color #ed5fa6, squared

Hint #22 / 2

Using the above pattern, we get:

\begin{aligned} &\phantom{=}(\blueD x+\maroonC 7)^2 &=\blueD x^2+2(\blueD x)(\maroonC 7)+\maroonC 7^2 &=x^2+14x+49 \end{aligned}

=(x+7)

2

=x

2

+2(x)(7)+7

2

=x ^2+14x+49

-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

answer:

a=9

step-by-step explanation: lmk if you need a explanation