(w-2)^2 = 63
FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4
So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0
Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3
√
7
The answer to the question
Given:
The inequality is

Where, c is the number of cars in the parking lot.
To find:
The graph for the given inequality.
Solution:
We have,

Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.
Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.
In the graph of the given inequality, there are close circles on 0,1, 2,3,4, 5,6,7 as shown in option D.
Therefore, the correct option is D.
In order to find the circumference, we first need to find the radius. We have the area, so we can find the radius. We set up this equation:

We begin by dividing both sides by pi.
483.76 =

Next, we take the square root of both sides to get the radius.
r = 22.
Next, we plug this into the formula for the circumference, 2 pi r

So, the circumference of this circle is 138.23 units.