Topic: Coordinate Geometry
Mathematics Quiz
Question: Distance between \((2,3)\) and \((5,7)\) equals:
Answer & Explanation
Correct: B — \(5\)
Steps: \(d=\sqrt{(5-2)^2+(7-3)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\). Option D is the under-the-radical value before simplification.
Steps: \(d=\sqrt{(5-2)^2+(7-3)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\). Option D is the under-the-radical value before simplification.
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