Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10.

UW = 36 units

Step-by-step explanation:

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Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10. If UW = 9x – 9, what is UW in units?

If a point V lies between points U and W on line segment UW, then based on vector notation, UV + VW = UW.

Given parameters

The length between U and V i.e UV = 2x-4

The length between V and W i.e VW= 4x + 10.

UW = 9x – 9

Required

The length between U and W in units

Since UW = UV+VW, we will substitute the given functions into the formula as shown;

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

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

9x-9 = 6x+6

collect like terms on both sides;

9x-6x = 6+9

3x = 15

x = 15/3

x = 5

Substitute x = 5 into the function UW = 9x-9 to ge the length of UW in units.

UW = 9(5)-9

UW = 45-9

UW = 36 units

Hence the required length between line segment U and W in units is 36units.

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