Asked by ANSWER CORRECTLY
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
5.39
5.39
4.58
Responses
2.65
2.65
29
29
5.39
5.39
4.58
Answers
There are no human answers yet.
Answered by
GPT 3.5
The distance between the points (2, 5) and (7, 3) can be found using the Pythagorean Theorem:
Let's label the coordinates as:
(x₁, y₁) = (2, 5)
(x₂, y₂) = (7, 3)
The distance between these two points is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the given values:
d = √((7 - 2)² + (3 - 5)²)
d = √(5² + (-2)²)
d = √(25 + 4)
d = √29
Rounding to the nearest hundredth, the distance is approximately 5.39.
Therefore, the correct answer is 5.39.
Let's label the coordinates as:
(x₁, y₁) = (2, 5)
(x₂, y₂) = (7, 3)
The distance between these two points is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the given values:
d = √((7 - 2)² + (3 - 5)²)
d = √(5² + (-2)²)
d = √(25 + 4)
d = √29
Rounding to the nearest hundredth, the distance is approximately 5.39.
Therefore, the correct answer is 5.39.
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