7.1 Distance in the Cartesian Coordinate System

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Given that the distance between \(A(5,-4)\) and \(B(x,6)\) is \(\sqrt{101},\) find the value of \(x.\)

Difficulty Level: Hard

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Calculate the distance between point \(P\) and point \(Q.\)

Difficulty Level: Medium

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Given a diagram a graph of point \(P\) and \(Q.\)

Calculate the distance between point \(P\) and point \(Q.\)

Difficulty Level: Medium

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Determine the distance between \(RS.\)

Difficulty Level: Medium

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Calculate the distance between the points.

\((0,1),\quad (0,-3)\)

Difficulty Level: Medium