For each of the figures, write an absolute value equation to satisfy the given solution set.

|x-1|=5

Step-by-step explanation:

From the diagram you can see that the solutions of the equation are and

1. Find the midpoint between -4 and 6:

1/2(-4+6)=1

2. Find the distance between points x=1 and x=6 (or between x=1 and x=-4):

d=6-1=5

3. Writhe an absolute value equation (the distanse from endpoints and to the midpoint x=1 is equal 5):

|x-1|=5

56

step-by-step explanation:

-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