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2 years ago

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Bailey works part-time at a movie theater

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pashok25 [27]2 years ago

3 0

Answer:

nice thats really exellent for her to get money

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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

2 years ago

A store is offering a 30% discount off the regular price of a jacket them amount off the discount was $21 what was the regular p

SSSSS [86.1K]

Answer:

(21/30)*100 = $70

Step-by-step explanation:

4 0

2 years ago

Use the dimensions shown above to find the volume of each candle to the nearest hundredth. Complete the table.

Kaylis [27]

Answer:

ammmmmmmmmmmmmmmmammmmmmmmmmmmmmmmmmmm

5 0

2 years ago

How am I supposed to set up a problem like this:<br> y= x-8<br> y= 3x

Brums [2.3K]

Answer:

x = - 4

y = - 12

Step-by-step explanation:

x - 8 = 3x

- 8 = 3x - x

2x = - 8

x = - 4

y = 3x = 3(-4) = - 12

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2 years ago

Factor 4x^3-16x^2+12-3x

Xelga [282]

4x^3-16x^2+12-3x
Rearrange: (4x^3-16x^2)-(3x+12)
Factor out GCF : 4x^2(x-4)-3(x-4)
Answer: (4x^2-3)(x-4)
I hope this helped! :)

5 0

2 years ago

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