Which of the following points has a distance of 3 from the point (-7,4)?

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To find the distance between two points, we can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can calculate the distance from (-7, 4) to each of the given points:

1) (0, 4)
Distance = √((0 - (-7))^2 + (4 - 4)^2)
Distance = √((7)^2 + (0)^2)
Distance = √(49 + 0)
Distance = √49
Distance = 7

2) (-7, -1)
Distance = √((-7 - (-7))^2 + (-1 - 4)^2)
Distance = √((0)^2 + (-5)^2)
Distance = √(0 + 25)
Distance = √25
Distance = 5

3) (5, 4)
Distance = √((5 - (-7))^2 + (4 - 4)^2)
Distance = √((12)^2 + (0)^2)
Distance = √(144 + 0)
Distance = √144
Distance = 12

Therefore, the point that has a distance of 3 from the point (-7, 4) is not among the given points.

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