2. The area for a circle is as follows:
A = π

The radius of the circle is 4 in, so we plug that into the equation.
A = π (4

)
4

= (4 in.)(4 in.) = 16

A = 16π

This is the area for the whole pizza, so divide that by 2 to get the area of the pepperoni
a) 8π

For the bacon, we can just divide the value we already have by 2, since it is half the area of the pepperoni
b) 4π

3. This question is asking for the circumference, whose equation is as follows:
C = 2 π r
We can use the area formula, A = π

to find the radius of this circle
36π = π

Divide both sides by π:
36 =

Square root both sides:
r = 6 in.
Plug in this value to the circumference formula, C = 2 π r
C = (2)(π)(6 in.)
Your final answer is:
C = 12π in.
The x - intercept of 5x - 3y = 15 is (3, 0)
The y -intercept of 5x - 3y = 15 is (0, -5)
<h3><u>Solution:</u></h3>
Given equation is 5x - 3y = 15
<em><u>To find: x - intercept and y -intercept</u></em>
The x intercept is the point where the line crosses the x axis. At this point y = 0
The y intercept is the point where the line crosses the y axis. At this point x = 0.
<em><u>Finding x - intercept:</u></em>
To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x
So put y = 0 in given equation
5x - 3(0) = 15
5x = 15
x = 3
So the x - intercept is (3, 0)
<em><u>Finding y - intercept:</u></em>
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
So put x = 0 in given equation
5(0) - 3y = 15
-3y = 15
y = -5
So the y - intercept is (0, -5)
Finding the prime factors of each term to get the GCF as 4b