194k views
4 votes
Find the endpoint of the diameter if the center is (-3,0) and one endpoint is (4, 5).

a) (11, 5)
b) (-10, 5)
c) (-10, -5)
d) (11, -5)

User Orsius
by
8.7k points

1 Answer

5 votes

Final answer:

The endpoint of the diameter is (-10, -5).

Step-by-step explanation:

The formula for finding the endpoint of the diameter of a circle given the center and one endpoint is:

x = 2c - a

y = 2d - b

Where (c, d) is the center of the circle, (a, b) is the given endpoint, and (x, y) is the endpoint we are looking for.

In this case, the center is (-3, 0) and one endpoint is (4, 5). Plugging these values into the formula, we get:

x = 2(-3) - 4 = -10

y = 2(0) - 5 = -5

So the endpoint of the diameter is (-10, -5), which corresponds to option c.

User Skgland
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.