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A drone has an effective range represented by a circle on a coordinate plane. The points (–12, 3) and (–6, –5) are endpoints of a diameter of this boundary. Which equation represents the effective range boundary for the drone?
(x + 96)^2 + (y + 1)^2 = 25
(x – 9)^2 + (y – 1)^2 = 25
(x + 9)^2 + (y + 1)^2 = 100
(x – 9)^2 + (y – 1)^2 = 100

Sagot :

lacampanella

Answer:

(x+9)^2 + (y+1)^2 = 100

Step-by-step explanation:

Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.

The center is the midpoint of the two endpoints on a diameter.

Here, it is (-9, -1).

Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.

The radius: sqrt(8^2 + 6^2) = 10

So the equation is (x+9)^2 + (y+1)^2 = 100

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