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Artist 52 [7]
3 years ago
7

Which of these equations has a solution of x = 2? Select three that apply. A 6(2x – 1) = 4 + 7x B 10 – 3x = –2(x + 4) C –3(7 – 2

x) = –1 – 4x D 7x + 12 = 2(4x – 5) E –5(x + 1) = –4 – 7x F 8x + 11 = 9(5 – x)
Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

x = 2 for a, c, and f

Step-by-step explanation:

a)

6(2x - 1) = 4 + 7x

12x - 6 = 4 + 7x

5x = 10

x = 2

b)

10 - 3x = -2(x + 4)

10 - 3x = -2x - 8

18 = x

c)

-3(7 - 2x) = -1 - 4x

-21 + 6x = -1 - 4x

10x = 20

x = 2

d)

7x + 12 = 2(4x - 5)

7x + 12 = 8x - 10

22 = x

e)

-5(x + 1) = -4 - 7x

-5x - 5 = -4 - 7x

2x = 1

x = 1/2

f)

8x + 11 = 9(5 - x)

8x + 11 = 45 - 9x

17x = 45 - 11

17x = 34

x = 2

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Can anybody please help me on this
Digiron [165]

Answer:

The length of AA' = √29 = 5.39

Step-by-step explanation:

* Lets revise how to find the length of a line joining between

 any two points in the coordinates system

- If point A is (x1 , y1) and point B is (x2 , y2)

- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]

* Lets use this rule to solve the problem

∵ Point A is (0 , 0)

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∵ (x2 - x1)² = (5 - 0)² = 5² = 25

∵ (y2 - y1)² = (2 - 0)² = 2² = 4

∴ The length of AA' = √(25 + 4) = √29 = 5.39

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