Calculate, correct to one decimal place, the length of the line joining points X(3, 5) and Y(5, 1).
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Correct Answer: Option C
Explanation:
\(XY = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}\) is the distance between a point \(X(x_{1}, y_{1})\) and \(Y(x_{2}, y_{2})\).
\(XY = \sqrt{(3 - 5)^{2} + (5 - 1)^{2}} = \sqrt{20}\)
= \(2\sqrt{5} = 4. 467 \approxeq 4.5\)
\(XY = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}\) is the distance between a point \(X(x_{1}, y_{1})\) and \(Y(x_{2}, y_{2})\).
\(XY = \sqrt{(3 - 5)^{2} + (5 - 1)^{2}} = \sqrt{20}\)
= \(2\sqrt{5} = 4. 467 \approxeq 4.5\)