A circular light fixture has a radius of 20 centimeters. what is the circumference of the light fixture

Step-by-step explanation:

Circumference can be found by multiplying the diameter of the circle by pi.

We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.

Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.

1. In Terms of Pi

If we solve in terms of pi, we leave π in the answer.

2. Using 3.14 as Pi

Substitute 3.14 in for pi.

3. Using 3.14159 as PI

Use the pi button on a calculator.

The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm

{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