Question

On a coordinate plane, a circle has a center at (0, 0). Point (0, negative 5) lies on the circle. The point (0, 5) lies on a circle that is centered at the origin. Does (–3, –4) also lie on the circle? Identify the radius from the graph. r = units Determine the distance from the center to (–3, –4) using the distance formula. distance = units Compare the radius to the distance. Does the point (–3, –4) also lie on the circle?

Answer 1

Answer:

Yes

Step-by-step explanation:

First, find the radius of the circle. If the center is at the origin, and (0, 5) lies on the circle, then the radius is 5 units.

Use the distance formula to see if the distance between (-3, -4) and (0, 0) is equal to 5, if it is, then it will lie on the circle.

$\sqrt{(-3 - 0)^2+ (-4 - 0)^2}$ = d

$\sqrt{9 + 16}$ = d

$\sqrt{25}$ = d

5 = d

So, the point is on the circle.