To find the distance between the two points (-2, -1) and (2, 4), we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The x-coordinate difference = 2 - (-2) = 4
The y-coordinate difference = 4 - (-1) = 5
Therefore, the distance between the two points is the square root of (4^2 + 5^2) = square root of (16 + 25) = square root of 41.
Rounded to the nearest hundredth, the distance between the two points is 5.57.
Use the image to answer the question.
A graph shows four quadrants with the x-axis and y-axis both ranging from negative 5 to positive 5 in increments of 1. Unlabeled data points marked are at left parenthesis negative 2 comma negative 1 right parenthesis, and at left parenthesis 2 comma 4 right parenthesis. A straight line joins the two lines with a positive slope.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
41
41
5.57
5.57
9
9
6:40
6:40
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1 answer