2. What is the solution to the equation.. 5m − (m + 4) = 2?
f. -1/2
g. 1/2
h. 1
j. 3/2
k. 3

J. 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−(m+4)=2

Step 1: Simplify both sides of the equation.

5m−(m+4)=2

5m+−1(m+4)=2(Distribute the Negative Sign)

5m+−1m+(−1)(4)=2

5m+−m+−4=2

(5m+−m)+(−4)=2(Combine Like Terms)

4m+−4=2

4m−4=2

-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