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which expression gives the distance between the points (1,-2) and (2,4) a. sqrt ((1+2)^2+(2-4)^2) b (1-2)^2+(-2-4)^2 c (1+2)^2+(2-4)^2

Question

Which expression gives the distance between the points (1,-2) and (2,4) A. sqrt ((1+2)^2+(2-4)^2) B (1-2)^2+(-2-4)^2 c (1+2)^2+(2-4)^2 D. sqrt ((1-2)^2+(-2-4)^2)

Answer

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Toby Expert · Tutor for 3 years

Answer

The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a plane is given by the formula: For the points \((1,-2)\) and \((2,4)\), we have: Plugging these values into the distance formula: The correct expression that gives the distance between the points is:D. \(\sqrt{(1-2)^{2}+(-2-4)^{2}}\)