Flashcard 14 - Geometry Flashcard Set for the Math Basics

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The correct answer is:

Given two points: \(A = (x_1,y_1)\) and \(B=(x_2, y_2)\), then \(D(A,B)=\sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}\)


Explanation:

For example, if \(A=(0,5)\) and \(B=(-4,2)\), then \(D(A,B)=\sqrt{(0-(-4))^2 + (5-2)^2}\)

\[D(A,B)=\sqrt{4^2+3^2}\] \[D(A,B)=\sqrt{16+9}\] \[D(A,B)=\sqrt{25}=5\]

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