The distance between two points (x1, y1) and (x2, y2) can be found using the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two points are (2, 4) and (-2, -1). The x-coordinates of the two points differ by 2 - (-2) = 4, and the y-coordinates differ by 4 - (-1) = 5.
The length between the two points can be found using the Pythagorean theorem as follows:
Distance = sqrt((4 - (-2))^2 + (5)^2)
Distance = sqrt(6^2 + 5^2)
Distance = sqrt(36 + 25)
Distance = sqrt(61)
Rounded to the nearest hundredth, the distance between the two points is approximately 7.81.
apply the pythagorean theorem to find the length between the two points (2,4) (-2, -1). round your answer to the nearest hundredth if necessary
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