Question

P, W, and K are collinear, and W is the midpoint of PK PW = 4x + 2 and WK = 3x + 8. What is the length of PK?

1 - 6
2 - 12
3 - 26
4 - 52

Answer 1

The length of PK is 26.

Step-by-step explanation:

To find the length of PK, we can use the fact that W is the midpoint of PK.

This means that the distance from P to W is the same as the distance from W to K. We are given that PW = 4x + 2 and WK = 3x + 8.

Since these distances are equal, we can set them equal to each other and solve for x: 4x + 2 = 3x + 8.

Simplifying this equation gives x = 6.

Plugging this value back into either PW or WK will give us the length of PK.

Let's use PW: PW = 4(6) + 2 = 26. Therefore, the length of PK is 26.