If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?

The circumference will be larger by 3 cm.

Step-by-step explanation:

We know that the circumference of a circle is C = 2πr, where r is the radius. The circumference can also be expressed as C = 2π , where d is the diameter (since the radius is half the diameter).

So, if we increase the diameter by 6:

C = 2π

C = 2π

C = 2π + 3

If we compare this to the original equation, C = 2π , we see that if we increase the diameter by 6 cm, the circumference will be larger by 3 cm.

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im not sure

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1