Question

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary. (-2, -1), (2,4)

(1 point)
Responses

6:40
6:40

41
41

9
9

5.57

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length between two points using the Pythagorean Theorem, we need to find the distance between their x-coordinates and their y-coordinates.

The x-coordinate distance is (2 - (-2)) = 4.
The y-coordinate distance is (4 - (-1)) = 5.

Now, we can use these distances to apply the Pythagorean Theorem, which states that the square of the hypotenuse (the distance we want to find) is equal to the sum of the squares of the two other sides.

Applying the theorem:
Hypotenuse^2 = 4^2 + 5^2
Hypotenuse^2 = 16 + 25
Hypotenuse^2 = 41

Taking the square root of both sides to find the hypotenuse:
Hypotenuse = √41

Rounding to the nearest hundredth, the length between the two points is approximately 6.40.