Question

Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?

BC=


On a number line, suppose point E has a coordinate of −3,and EG=8.What are the possible coordinates of point G?
The possible coordinates for G are?
Please help!

Answer 1

30

Explanation:

AC = AB + BC

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48 - 8 = 5x

40 = 5x

40/5 = x

8 = x

Finding BC

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

#2

Coordinate = -3 + 8 = 5

Answer 2

1. BC = 30
2. 5

Explanation:

We know that adding AB and BC will give us AC so we can create an equation and solve for x.

2x + 2 + 3x + 6 = 48

~Combine like terms

5x + 8 = 48

~Subtract 8 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Now that we know the value of x, we can solve for BC.

= 3(8) + 6

= 24 + 6

= 30

I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.

-3 + 8 = 5

Best of Luck!