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What is the approximate distance from (-2,3) to (4,1)?
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6.32456
Based on the Pythagorean theorem: \[d = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}\] The original statement: \[x^2 + y^2 = d^2\]
6.234
\[\sqrt{(4 - (-2))^2 + (1 - 3)^2} = \sqrt{(6)^2 + (-2)^2} = \sqrt{40} = 2\sqrt{10} \approx 6.3245553203\]
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