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 5.39 5.39 29 29 4.58 4.58 2.65
To find the distance between the two points (2, 5) and (7, 3), we can use the Pythagorean Theorem.
First, we need to find the difference in x-coordinates and y-coordinates:
Δx = 7 - 2 = 5
Δy = 3 - 5 = -2
Next, we can calculate the distance:
√(5^2 + 2^2) = √(25 + 4) = √29 ≈ 5.39
So, the distance between the points (2, 5) and (7, 3) is approximately 5.39 units.
Therefore, the correct answer is:
5.39
Apply the Pythagorean Theorem to find the length between (−1, 6) and (5, −2) . Round your answer to the nearest hundredth, if necessary.(1 point) Responses 14 14 100 100 10 10 9.22
To find the distance between the points (-1, 6) and (5, -2), we can use the Pythagorean Theorem.
First, we need to find the difference in x-coordinates and y-coordinates:
Δx = 5 - (-1) = 5 + 1 = 6
Δy = -2 - 6 = -8
Next, we can calculate the distance:
√(6^2 + (-8)^2) = √(36 + 64) = √100 = 10
So, the distance between the points (-1, 6) and (5, -2) is exactly 10 units.
Therefore, the correct answer is:
10