Inequality 1: y ≤ 5x + 1
Inequality 2: y > x - 2
#1. The slope is 5, the y-intercept is 1, the shaded area is below the line and the line is solid, which means that y is less than or equal to the equation. (you add the "equal to" because the line is a solid line)
#2. The slope is 1, the y-intercept is -2, the shaded area is above the line and the line is dotted, which means that y is greater than the equation
Step-by-step explanation:
-3-24x-36>-111
-39-24x>-111
-24x>-111+39
-24x>-72 /x(-1)
24x<72
x<2.66
First, let's put all of the variables together.
4m + 5m + 5 + 40 = 180.
Add them.
M is the same multiplier, so we can add 4 and 5 together to make 9m.
Add 5 and 40.
9m + 45 = 180.
From here, we can go two ways. I will show the first way, which is my personal preference.
We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.
9m/9 = 1m
45/9 = 5
180/9 = 20
Plug it in--
m + 5 = 20.
Subtract the 5 from both sides to isolate m.
m = 15.
Is it radius or circumference?