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3 years ago

Which choice shows how to find the greatest common factor of 18 and 72 through prime factorization

1 answer:

6 0

$\begin{array}{c|c}18&2\\9&3\\3&3\\1\end{array}\\\\18=\boxed2\cdot\boxed3\cdot\boxed3\\\\\begin{array}{c|c}72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\72=2\cdot2\cdot\boxed2\cdot\boxed3\cdot\boxed3\\\\GCF(18,\ 72)=\boxed2\cdot\boxed3\cdot\boxed3=\boxed{\boxed{18}}$

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What are the x and y-intercepts of the line?

natta225 [31]

Answer:

Step-by-step explanation:

To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)

2x + 3y = -12

2(0) + 3y = -12 (Plug in x=0)

3y = -12 (2*0=0, so you can ignore that part)

y = -4 (Divide both sides by 3)

This narrows down our choices to either A or B.

To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)

2x + 3y = -12

2x + 3(0) = -12 (Plug in y=0)

2x = -12 (3*0=0, so you can ignore that part)

x = -6 (Divide both sides by 2)

If our x intercept is -6 and our y intercept is -4, that makes our answer B.

4 0

3 years ago

Each side of a square is 6 2/3 m long. Find its Area

svlad2 [7]

Answer: 80/3

Step-by-step explanation:

8 0

2 years ago

Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

2 years ago

If it takes two people six hours to paint a room, how long will it take four people

nika2105 [10]

12 hours

Step-by-step explanation:

just multiply bro

4 0

2 years ago

Help I need help ASAP?!!? Thank<br> You:)

alekssr [168]

Answer:

i think its b

Step-by-step explanation:

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2 years ago

Read 2 more answers