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3 years ago

How will the circumference of the circle change if it is dilated by a scale factor of 4?

Mathematics

2 answers:

Stolb23 [73]3 years ago

5 0

The circumference of a circle has the formula:

C = 2 π r

Now when it is dilated by a factor of 4, this only means that the radius is also multiplied by a factor of 4, therefore the new circumference is:

C’ = 2 π (4 r)

C’ = 8 π r

So it also grows 4 times.

Answer:

The circumference will be 4 times greater than the original.

OlgaM077 [116]3 years ago

3 0

Answer:

Step-by-step explanation:

Just took the test

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Four different roads from Town A to Town B, and three different roads run from Town B to Town C. Two roads also run from Town A

LekaFEV [45]

Answer:

196

Step-by-step explanation:

To solve this, I broke it down into two parts.

A. Number of routes going to Town C

4 x 3 + 2 = 14

B. Number of routes going back to Town A

3 x 4 + 2 = 14

From here, it is easy to see what to do. Since there are 14 routes going to Town C and 14 routes going back, the answer is 14 x 14 = 196.

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Answer:

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Step-by-step explanation:

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3 years ago

HELP A line passes through two points with coordinates (6,-8) and (-3,7).

FromTheMoon [43]

Answer:

3y+5x=6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

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

The line passes through the points (6,-8) and (-3,7), thus:

$\displaystyle y+8=\frac{7+8}{-3-6}(x-6)$

$\displaystyle y+8=\frac{15}{-9}(x-6)$

Simplifying:

$\displaystyle y+8=-\frac{5}{3}(x-6)$

Multiplying by 3:

$3(y+8)=-5(x-6)$

$3y+24=-5x+30$

Moving all the variables to the left side:

3y + 5x = 30 - 24

3y + 5x = 6

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victus00 [196]

Answer:

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Step-by-step explanation:

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3 years ago

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