A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4
The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
The tip is $2.40 and the bill is$14.40
The value of tan³ θ + 2 = 3
Solution is in attachment !
Answer:

Step-by-step explanation:
The volume of a cylinder is given as:

Since the diameter is
, the radius is
.
Therefore, the volume of this cylinder is:
, using
as requested in the problem.
Since the tank is emptied at a constant rate of
, it will take
to empty the tank.