Point V lies between points U and W on line UW. The distance between U and V is 2x-4, and the distance between V and W is 4x+10.

Question

3 years ago

12

If UW = 9x – 9, what is UW in units?

1 answer:

gogolik [260] · Answer 1 · 2021-12-10T12:14:30+03:00

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36