Question

If B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14, then what is the length of AB?

Answer 1

Answer:

AB=34

Step-by-step explanation:

Since b is the midpoint of AC, AB=BC

8x+2=5x+14

3x=12

x=4

Plug 4 in for x

8*4+2=32+2

=34

Answer 2

Answer:

The length of AB: 34

Step-by-step explanation:

What are we given?

B = Midpoint of AC

AB = 8x + 2

BC = 5x + 14

|--------------|--------------|

A               B               C

(This is what your line would look like)

Our equation would be:

AB + BC = AC

(8x + 2) = (5x + 14)

(AB)      =        (BC)

(Assuming that our line and points are evenly spread out, we can say that they can equal each other)

8x + 2 = 5x  +14

- 5x- 2 = -5x -2

---------------------

3x = 12

$\frac{3x}{3}=\frac{12}{3}$

---------------------

x = 4

1) Substitute

(8x + 2) + (5x + 14) = AC

    (AB) + ( BC)       = AC

AB = 8(4) + 2

32 + 2

= 34

BC = 5(4) + 14 =

20 + 14

= 34

(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)