To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Answer:
Mac is 19 years old, Joe is 11 years old
Step-by-step explanation:
2J - 3 = M
J + M = 30
M = 30 - J
2J - 3 = 30 - J
3J = 33
J = 11
M = 30 - 11
M = 19
Here you have a system of 2 equations and 2 unknowns. An easy way to solve this type is to isolate one of the variables.
12a + 2b = 8
2b = 8 - 12a
b =

b = 4 - 6a
Now plug 4 - 6a into equation 1 to solve for a.
a + 5(4 - 6a) = 19
a + 20 - 30a = 19
-29a = -1
a = 1/29 (answer)
Now plug a into the equation for b
b= 4 - 6(1/29)
b= 110/29 (answer)
The perimeter is 56m
H = 4m
Base area = 96m^2
96/4 = 24
Therefore the length is 24m
4m + 24 = 28m
multiplied by 2 is equal to 56m.