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sashaice [31]
3 years ago
12

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.

If UW = 9x – 9, what is UW in units?
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

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

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divide through by 2

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So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

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substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

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The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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