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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?

User GluedHands
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2 Answers

6 votes

Answer:

Yes

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.


√((-3 - 0)^2+ (-4 - 0)^2) = d


√(9 + 16) = d


√(25) = d

5 = d

So, the point is on the circle.

User Roemer
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9.6k points
4 votes

Answer:

5, 5, yes

Explanation:

User Carol Ward
by
8.0k points

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