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4 years ago

What’s the correct value of x ?

Mathematics

1 answer:

denis23 [38]4 years ago

4 0

The correct value for x is 35 for (3x+16) and (5x-54) both equal 121

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Use the point-slope form to find the ewuation of the line through the points (-5,2) and (-2,6)

Morgarella [4.7K]

Answer:

The equation of the line through the points (-5, 2) and (-2, 6) is $y = \frac{4}{3}\cdot x +\frac{26}{3}$ .

Step-by-step explanation:

The point-slope form of the equation of the line is defined by this formula:

$y-y_{1} = m\cdot (x-x_{1})$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$m$ - Slope.

$x_{1}$ , $y_{1}$ - Coordinates of the first point.

In addition, the slope of the line can be determined in terms of two distinct points:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (2)

Where $x_{2}$ , $y_{2}$ are the coordinates of the second point.

If we know that $x_{1} = -5$ , $y_{1} = 2$ , $x_{2} = -2$ and $y_{2} = 6$ , then the equation of the line is:

$m = \frac{6-2}{-2-(-5)}$

$m = \frac{4}{3}$

$y-2 = \frac{4}{3}\cdot (x+5)$

$y = \frac{4}{3}\cdot x +\frac{26}{3}$

The equation of the line through the points (-5, 2) and (-2, 6) is $y = \frac{4}{3}\cdot x +\frac{26}{3}$ .

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3 years ago

How many adults are needed if there <br> are 72 children

Murrr4er [49]

Answer:

Step-by-step explanation:

72÷2

2 adults per one child

8 0

3 years ago

Which decimal number is equal to<br> 2/4?

Vikki [24]

Answer:

0.5 is the decimal number for 2/4.

Brainliest please.

Step-by-step explanation:

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3 years ago

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If sam works for 40 hours every week and makes 610$ every week how much does he make per hour

Misha Larkins [42]

Answer:

$15.25

Step-by-step explanation:

All you have to do is divide 610 by 40

610 ÷ 40 = 15.25

Therefore, $15.25 is how much Sam makes per hour.

Hope this helps ya!

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3 years ago

Dan wants to buy carpet. To cover his hole living room, except for the tiled floor. The tiled floor is 4 5/6 ft by 2 1/3. Find t

grigory [225]

Answer:

11.2777778 feet (11 feet 321⁄64 inches)

Step-by-step explanation:

7 0

3 years ago

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