4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?

The value of x is 2

Step-by-step explanation:

Diameter = 2r (1)

where r is the radius

The value of the diameter = 32 m   and  radius is given to be 4(x+2)

substitute the above into equation (1)   and then solve for x

32  =  2 [ 4(x + 2)]

first open the inner bracket

32 = 2[4x + 8}

then open the outer bracket

32 = 8x + 16

subtract 16 from both-side of the equation

32 - 16 = 8x +16 - 16

16 = 8x

Divide both-side of the equation by 8

16/8  = 8x/8

2 = x

x = 2

Therefore, the value of x is 2

slope =   (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero.   it is perfectly horizontal.

step-by-step explanation: