A half circle is joined to an equilateral triangle with side lengths of 8 units. What is an approximate perimeter of the resulting shape?

28.56 units

Step-by-step explanation:

If we assume that the diameter of the half-circle will be 8 units, the shape will be something like in the image below.

Where the perimeter will be equal to the sum between the two remaining sides of the triangle (8 units each) and the curve part of the half-circle.

Knowing that the perimeter of a circle of diameter d is:

P = pi*d

pi = 3.14

In the case of a half-circle, the perimeter will be half of that:

Then the total perimeter in this shape is:

P = 8 + 8 + 3.14*8/2 = 28.56 units

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is