The circumference of a circle varies directly with its radius. if the circumference of a circle with a radius of 1.5 inches is 9.42 in, what is the circumference of a circle with a radius of 9 in? use π = 3.14. round your answer to the nearest inch.

57 in.

Step-by-step explanation:

When two quantities x and y are directly proportional , then the equation to show direct proportion is given  y :-

     (1)

Given : The circumference of a circle varies directly with its radius.

Let c be the circumference of a circle with a radius of 9 in.

If the circumference of a circle with a radius of 1.5 inches is 9.42 in, then from (1) we have

Hence, the circumference of a circle with a radius of 9 in is approximately 57 in.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i