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ziro4ka [17]
3 years ago
12

The greatest common factor of two numbers is __________. A. the smallest number that is a divisor of both numbers B. the largest

number that is a divisor of both numbers C. any common factor of the two numbers D. the largest factor that divides evenly into one number, but not the other
Mathematics
2 answers:
Ghella [55]3 years ago
6 0
B is the correct answer since the greatest common factor is the greatest common divisor
Sophie [7]3 years ago
4 0
The correct answer choice is B. "The largest number that is a divisor of both numbers."

A can't be correct, because if we are looking for the greatest common factor, we don't want the smallest number.
C can't be correct, because if we are looking for the greatest common factor, it can't be just any number.
And D can't be correct either. If we are looking to find the greatest common factor of two number, the factor has to divide into both evenly, not just one.

I hope this helps.
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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.

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3 years ago
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aleksandr82 [10.1K]
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Butoxors [25]

Answer:

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Step-by-step explanation:

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