Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
You use x1-x2 over y1-y2
So -4-3 = 1 and 6- -7 is 1 so it’s 1/1. That’s the slope.
Answer:
16
Step-by-step explanation:
3 times 6 is 18 and 12 divided by 6 is 2
18 - 2 =16
use the acronym PEMDAS
Making the assumption that your problem looks like this,

we use the distributive property to multiply: