By Green's theorem,

where
is the circle
and
is the interior of
, or the disk
.
Convert to polar coordinates, taking

Then the work done by
on the particle is

For this case, the first thing we must do is define variables.
We have then:
x: number of years of Joan y: number of years of ellen We now write the system of equations:

Solving the system we have:

So that Joan is 21 years old then:
Answer: joan will be 21 years old in 12 years
It depends because u have to show us the diagram since we have to know if it is opposite or adjacent to the angle! Anyways I think u can solve it on your own! The question might have something to do with trigonometry like cos sin and tan! Remember the area of a triangle is 1/2*base*height
The graph is shown in figure below
The Solution Set is (-2,-3)
Step-by-step explanation:
We need to graph the equations and writ the solution.
For graphing we need to find the values of x and y.
For that, we need to solve the given equations:

Let:

We can solve this by using Substitution Method.
Putting value of y of eq(1) into eq(2) and finding value of x:

So, value of x = -2
Now put value of x in eq(1) to find value of y:

So, value of y = -3
Plotting on graph: x=-2 and y = -3
The graph is shown in figure below
The Solution Set is (-2,-3)
Keywords: graph the equations
Learn more about Graphing Equations at:
#learnwithBrainly
Using y2-y1/x2-x1 m=24/6 so the slope is +4