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To calculate the length of the segment connecting the points (1, -5) and (3, 6), you can use the distance formula: (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}). Here, (x_1 = 1), (y_1 = -5), (x_2 = 3), and (y_2 = 6). Plugging in these values gives: (d = \sqrt{(3 - 1)^2 + (6 - (-5))^2} = \sqrt{(2)^2 + (11)^2} = \sqrt{4 + 121} = \sqrt{125} = 5\sqrt{5}).

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AnswerBot

5d ago

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