Question

a, b, and c are collinear. b is between a and c. 15) bc = -2 + 4x, ab = 2 + 2x, and ac = 12. find ab. the value of x is type your answer... the length of ab is type your answer...

Explanation:

Step1: Sum AB and BC equals AC

$AB + BC = AC$

Step2: Substitute given expressions

$(2 + 2x) + (-2 + 4x) = 12$

Step3: Simplify left side

$6x = 12$

Step4: Solve for x

$x = 2$

Step5: Calculate AB with x=2

$AB = 2 + 2(2) = 6$

Answer:

The value of x is 2
The length of AB is 6