Answer:

Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

Solve for <em>r: </em>
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Simplify. Thus:

Finally, add:

We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:

Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,



Therefore the modulus be of the given complex number is 5 units
Answer:
(4,2)
Step-by-step explanation:
Just by looking at the graph, you can see that they intersect at (4,2). But just to check:
x - 2 = -0.5x + 4
1.5x = 6
x = 4
y = 4 - 2 = 2
(4,2)
I’m not really sure but I would say c