Answer:
0.0560042
Step-by-step explanation:
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
Answer: 140
A triangle is 180 degrees in all
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.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile