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UNO [17]
3 years ago
6

The difference of twice a number and 8 is greater than 28.

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

x>18.

Step-by-step explanation:

The word problem describes the equation below, where x is "a number".2x-8>28

This inequality can be solved by first adding 8 to the both sides:

2x>36

Then, divide both sides by 2 to isolate x.

x>18

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38.5

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PLEASE HELP! Find the distance between each pair of points. Round your answers to the nearest tenth.
strojnjashka [21]
A.
Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\  = \sqrt{\left( -4 - \left( -5 \right) \right)^2 + \left( -2 - \left( -3 \right) \right)^2} \\ \\  = \sqrt{ 1 + 1} \\ \\ = \sqrt{ 2 }

b. 
Distance = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\\\\ = \sqrt{\left( -4 - \frac{ 7 }{ 2 } \right)^2 + \left( \frac{ 5 }{ 2 } - 1 \right)^2} \\  \\= \sqrt{ \frac{ 225 }{ 4 } + \frac{ 9 }{ 4 }} \\ \\=  3 \frac{\sqrt{ 26 }}{ 2 }
6 0
3 years ago
Given the following table, find the equation that matches it.​
bagirrra123 [75]

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

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

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

The rule of the slope is m =  \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

∴ x1 = 0 and y1 = 7

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-7}{1-0}=\frac{-5}{1}

∴ m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

∵ b is the value of y at x = 0

∵ At x = 0, y = 7

∴ b = 7

∴ y = -5x + 7

∴ The equation that matches the table is y = -5x + 7

7 0
2 years ago
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