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3 years ago

15

(s+12)+(-3s-8) equals?

1 answer:

finlep [7]3 years ago

4 0

Answer:

-2s + 4

General Formulas and Concepts:

Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(s + 12) + (-3s - 8)

<u>Step 2: Simplify</u>

Combine like terms (s): -2s + 12 - 8
Combine like terms (constants): -2s + 4

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Which of the following is true for this graph?<br><br> Will give brainliest to correct answer.

vlabodo [156]

its B because all the other ones don't make sense for the graph and you just do the slope and it is -3

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3 years ago

Read 2 more answers

1) Easton went to a concert with some

tatuchka [14]

Subtract the 15 from the 133
you get 118
divide 29.50 from the 118
you get 4
4 people went to the concert

7 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

3 years ago

Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of

galben [10]

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given by:

$P = 2(l + w)$

In this problem:

She has enough wood to build a deck that is 280ft, hence P = 280.

The length is of 10 feet, hence l = 10.

Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.

Then:

$P = 2(l + w)$

$280 = 2(10 + 8 + w)$

$36 + 2w = 280$

$2w = 244$

$w = \frac{144}{2}$

$w = 122$

She can make a deck of 122 ft wide.

You can learn more about the perimeter of a rectangle at brainly.com/question/10489198

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2 years ago

Which of the following is equivalent to the complex number i24?

Alika [10]

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

5 0

3 years ago