Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3). Round your answer to the nearest hundredth, if necessary.(1 point)

Responses

2.65
2.65

29
29

4.58
4.58

5.39

Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

The distance between two points (x1, y1) and (x2, y2) can be found using the Pythagorean Theorem, which states:

d = √((x2-x1)^2 + (y2-y1)^2)

Using the points (2, 5) and (7, 3):
d = √((7-2)^2 + (3-5)^2)
d = √(5^2 + (-2)^2)
d = √(25 + 4)
d = √29

Therefore, the distance between the points (2, 5) and (7, 3) is approximately 5.39.

So, the answer is 5.39.

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