Equation of the circle:

Step-by-step explanation:
The equation of a circle is given by

where
are the coordinates of the center of the circle
r is the radius of the circle
For the circle in this problem, we know that:
(5,4) are the coordinates of the center
We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

Therefore, the equation of the circle is:

Learn more about circles:
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Answer c: 2 and 3
Of course Q is on plane PQR. If S is as well, then QS is as well.
Answer:

Step-by-step explanation:
The area of a rectangle is given by
. Therefore, we can set up the following inequality:
.
Solving this inequality, we have:
.
Therefore, the largest length Carmen's painting can be is
.