Answer:
A right triangle inscribed in a circle must have its hypotenuse as the diameter of the circle.
Step-by-step explanation:
A rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle. Hope this helps
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of

answer:
-1
work:
y = mx+ b
so we can tell that the Y intercept is 1, so we can plug that in. ( + b is the y-intercept)
y = mx + 1
plug in some values to find the slope.
(-1, 2)
2 = -m + 1
- 1 - 1
1 = -1m
/-1 /-1
-1 = m
the slope is -1.
i hope this helps! :D
Laura will catch up after 15 minutes, i hope this helps.
This system has exactly one solution.