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irakobra [83]
2 years ago
12

Use the distributive property to solve the equation 28-(3x+4)=2(x+6)+x. Show your work.

Mathematics
1 answer:
Gre4nikov [31]2 years ago
6 0

Answer:

x=2

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

We need to use the distributive property for the right side.

28−3x−4=(2)(x)+(2)(6)+x)

28−3x−4=2x+2+x

−3x+24=3x+12

From here we need to subtract 3x from both side.

−3x+24−3x=3x+12−3x

6x+24=12

Transfer +24 on the right side.

6x=12−24

6x=−12

Finally, divide both sides by −6

6x/-6 = -12/-6

x=2

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What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21
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The linear equation that is perpendicular to the line x+3y=21 is:

y = 3*x - 6

<h3>How to find the equation of the line?</h3>

A general line in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the two slopes is equal to -1.

Rewriting the given line we can get:

x +3y = 21

3y = 21 - x

y = 21/3 - x/3

y = (-1/3)*x + 21/3

Then the slope is (-1/3), if our line is perpendicular to this one, then:

m*(-1/3) = -1

m = 3

our line is:

y = 3*x + b

To find the value of b, we use the fact that our line passes through (1, - 3)

-3 = 3*1 + b

-3 - 3 = b

-6 = b

The line is y = 3*x - 6

Learn more about linear equations:

brainly.com/question/1884491

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3 0
1 year ago
Last season two running back's on the college football team rush for a combined 1550 yards one rushed four times as many yards a
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Answer:

The player with the most runs had a rush of 1,240 yards

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In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.

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