Help me, please! True or false: When a circle radius doubles, so does its circumference. Prove your answer with an example.

Simple Explanation: For example, 2 is the given radius, we can double 2 and get 4 as our diameter, then times pi. We get 4 pi as our initial circumference.

When we double the radius, we have a given radius of 4, and to find the diameter we get 8. 8 times pi= 8 pi. This is the simple version of the below example

Full Example:

Radius - 3

Pretend the radius is 3, do 3*2 and get the diameter of 6, then times 3.14 equals 18.84. So the current circumference is 18.84.

Now to find the new circumference. Now the radius is 6. To find the diameter we can do 6*2 and get 12. Now to find circumference; 12 x 3.14 = 37.68. 37.68 / 18.84 = 2

answer by yourhope:

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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .