1. use the image of the circle to identify the length of the radius, diameter, and circumference. leave all answers in terms of π when necessary.

Radius =  r = 7.5

Diameter = d = 15

Circumference = C = 15π

Step-by-step explanation:

We are given the image of a circle with a straight line passing through the center of the circle and touching its edges. Such a line is known as the diameter of the circle. From the image we can see the length of the diameter of the circle is d = 15 units.

Radius is define as half of the diameter. Since the diameter is 15 units, the radius of the given circle will be half of 15 which is r = 7.5 units.

Circumference of the circle = C = 2πr

Using the value of radius(r), we can write the circumference as:

C = 2π(7.5) = 15π

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2