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Dafna11 [192]
4 years ago
15

12(x-2) + 3x = 1/2(x + 6) + 2

Mathematics
1 answer:
Verizon [17]4 years ago
8 0

Answer:

x=2

Step-by-step explanation:

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Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that appl
andriy [413]

Answer:

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

Step-by-step explanation:

The slope intercept form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The line is passing through points (5 , 6) and (4 , 8)

∴ x_{1} = 5 and  x_{2} = 4

∴ y_{1} = 6 and  y_{2} = 8

- Substitute them in the formula of the slope to find it

∵ m=\frac{8-6}{4-5}=\frac{2}{-1}

∴ m = -2

- Substitute it in the form of the equation

∴ y = -2 x + b

- To find b substitute x and y in the equation by the coordinates

    of any point in the line

∵ x = 5 and y = 6

∴ 6 = -2(5) + b

∴ 6 = -10 + b

- Add 10 to both sides

∴ 16 = b

∴ y = -2 x + 16

∴ The equation of the line is y = -2x + 16

∴ A represents the equation of the line

∵ 2x + y = 16

- Subtract 2x from both sides

∴ y = -2x + 16

∴ D represents the equation of the line

∵ y - 6 = -2(x - 5)

∴ y - 6 = -2x + 10

- Add 6 to both sides

∴ y = -2x + 16

∴ E represents the equation of the line

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

7 0
3 years ago
The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown belo
Mashutka [201]

Answer: 10.00

Step-by-step explanation:

You had to multiply and divide and see what you get.

6 0
4 years ago
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4.7 + (-3.65) how do I work this
zimovet [89]

Answer:

<h3><u>1.05</u></h3>

Explanation:

  • Adding a negative is the same thing as subtracting so rewrite the equation

4.7 + (-3.65)

= 4.7 - 3.65

  • 1.05
7 0
3 years ago
Read 2 more answers
Need help please FILE ATTACHED
Angelina_Jolie [31]

Answer: n+4 or 4+n

Step-by-step explanation: too much to explain but I promise it’s right

5 0
3 years ago
Molly's snowboard is 150 cm long; Pete's is 16% longer. How long is Pete's snowboard?​
Amiraneli [1.4K]

Answer:

174 centimeters

Step-by-step explanation:

You take 150 and divide it by 10 which gives you 15. since you divide it by 10 and it gives you 15 that means ten percent is 15 centimeters. since we need to find out what the 16 percent is we take the 15 and divide that by 10 which gives us 1.5. That tells us every 1 percent, is 1.5 centimeters. you take the 150 and add 15 and that gives you 165. We have already done 10 percent out of the 16 percent . Now we have to figure out how much the rest of the 6 percent is so we take the 1.5 and multiply it with the 6 and we get a 9. That covers up for the rest of the 6 percent out of the 16 percent. Now we add 165 with 9 to get our answer of 174 centimeters.

4 0
3 years ago
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