Which characteristics describe the graph of (x – 6)2 + (y – 12)2 ≤ 196?

circle with solid boundary, center at (6, 12), bounded solution set
circle with solid boundary, center at (–6, –12), bounded solution set
circle with solid boundary, center at (6, 12), unbounded solution set
circle with solid boundary, center at (–6, –12), unbounded solution set

Respuesta :

Answer:

a

Step-by-step explanation:

The characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have a circle equation in the inequality form:

(x – 6)² + (y – 12)² ≤ 196

The center of the circle is at (6, 12)

The radius of the circle is:

r² = 196

r = 14 units

After drawing a circle on the coordinate plane.

We will see, a circle with a solid boundary, center at (6, 12), and bounded solution set.

Thus, the characteristics describe in the graph of the circle inequality are a circle with a solid boundary, center at (6, 12), and bounded solution set option first is correct.

Learn more about circle here:

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