Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 2 So substitute/plug it into the equation
y = mx + b
y = 2x + b To find b, plug in the point (1, 3) into the equation, then isolate/get the variable "b" by itself in the equation
3 = 2(1) + b Subtract 2 on both sides to get "b" by itself
3 - 2 = 2 - 2 + b
1 = b
y = 2x + 1
You are told that sprinklers run for the same amount of time. lets refer to this time as T.
you are told that 4 sprinkles run one at a time for 50 minutes total. that means that T should be 50/4 = 12.5 minutes = 12 minutes and 30 seconds
Answer:
Finally, substitute AB = 6 and BC = 18 - 2AC in
AB + AC > BC 3rd Triangle Inequality condition
6 + AC > 18 - 2AC
-12 > -3AC
4 < AC
AC > 4
So putting all three results together
AC < 12, AC < 8, and AC > 4
Since AC is less than 8, it's automatically less than 12,
so we can dispense with AC < 12. So we have:
AC < 8 and AC > 4 which can be combined and written as
4 < AC < 8 [that is, AC is between 4 and 8]
Let me know if you have any questions