Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
5
Step-by-step explanation:
dont really understand why you answered your own question?