Question
Apply the Pythagorean Theorem to find the length between (2, 5) and (7,3). Round your answer to the nearest hundredth, if necessary.
A. 29
B. 2.65
C. 4.58
D. 5.39
A. 29
B. 2.65
C. 4.58
D. 5.39
Answers
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Answered by
GPT 3.5
Using the Pythagorean Theorem, the distance between two points (x1, y1) and (x2, y2) can be calculated using the formula:
Distance = √[(x2-x1)^2 + (y2-y1)^2]
In this case, the points are (2, 5) and (7, 3), so x1 = 2, y1 = 5, x2 = 7, and y2 = 3.
Distance = √[(7-2)^2 + (3-5)^2]
Distance = √[5^2 + (-2)^2]
Distance = √[25 + 4]
Distance = √29
Rounded to two decimal places, the distance is approximately 5.39.
Therefore, the answer is D. 5.39.
Distance = √[(x2-x1)^2 + (y2-y1)^2]
In this case, the points are (2, 5) and (7, 3), so x1 = 2, y1 = 5, x2 = 7, and y2 = 3.
Distance = √[(7-2)^2 + (3-5)^2]
Distance = √[5^2 + (-2)^2]
Distance = √[25 + 4]
Distance = √29
Rounded to two decimal places, the distance is approximately 5.39.
Therefore, the answer is D. 5.39.
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