A catalog of scientific equipment states that the lens of a particular telescope has an area of 3.14 square feet. What is the lens's circumference?

6.28 feet

Step-by-step explanation:

Area of the lens= πr^2

Since area has been given as 3.14

3.14 = πr^2

Note that π = 3.14

3.14 = 3.14r^2

r^2 = 3.14/3.14

r^2 = 1

r = ✓1

r = 1

The radius of the lens is 1

Circumference of the lens= 2πr

= 2 × 3.14 × 1

= 6.28 feet

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step-by-step explanation:

sorry no step by step

{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