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2 years ago

13

Use long division to convert the rational number 1/4 to its equivalent decimal form. In your final answer, include all of your w

ork.

1 answer:

nikdorinn [45]2 years ago

4 0

1/4=25/100

Decimal is = .25

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The dimensions of a solid block of cheese in the shape of a triangular prism are shown below.wich of these is the best estimate

azamat

Answer:

174.19 cm3 i am not sure though.

Step-by-step explanation:

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1 year ago

2<br> 7<br> What is the area of the triangle?<br> units?

Alex_Xolod [135]

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

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so, in our case the area is

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1 year ago

What is equivalent to 6(8x+1)

devlian [24]

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3 years ago

Read 2 more answers

Kelsey says that to solve the equation 3x + 6 = 24, the first step should be to subtract 6 from each side of the equation. Dana

NNADVOKAT [17]

Answer:

Kelsey is correct.

Step-by-step explanation:

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2 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

2 years ago