Apply the Pythagorean Theorem to find the length between the two points (-2,-1) and (2,4) . Round your answer to the nearest hundredth, if necessary. (1 point) Responses 6:40 41 5.57 9

Answer 1

To apply the Pythagorean theorem, we need to find the length of the hypotenuse of a right triangle formed by the two points (-2,-1) and (2,4).

The distance between two points in a coordinate plane can be found using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the given points (-2,-1) and (2,4):

x1 = -2, y1 = -1
x2 = 2, y2 = 4

d = √((2 - (-2))^2 + (4 - (-1))^2)
= √((4 + 2)^2 + (4 + 1)^2)
= √(6^2 + 5^2)
= √(36 + 25)
= √61
≈ 7.81

Rounding to the nearest hundredth, the length between the two points is approximately 7.81.

Answer 2

choose one

Answer 3

5.57