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

A. 6:40
B. 5.57
C. 9
D. 41

1 answer

To find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane, you can use the distance formula which is derived from the Pythagorean Theorem:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the points are (4, 2) and (-2, -1), so:

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

Plug these values into the formula:

Distance = sqrt((-2 - 4)^2 + (-1 - 2)^2)
Distance = sqrt((-6)^2 + (-3)^2)
Distance = sqrt(36 + 9)
Distance = sqrt(45)
Distance ≈ 6.71

Rounded to the nearest hundredth, the answer is 6.71, so the closest option is:

B. 5.57
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