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question 5, 2.5.ps-14 find the distance between the pair of points. (-6…

Question

question 5, 2.5.ps-14 find the distance between the pair of points. (-6.4,2.5) and (0.6,2.5) unit(s)

Explanation:

Step1: Identify the coordinates

The two points are \((x_1,y_1)=(-6.4,2.5)\) and \((x_2,y_2)=(0.6,2.5)\).

Step2: Use the distance formula for points with the same \(y\) - coordinate

Since \(y_1 = y_2 = 2.5\), the distance \(d=\vert x_2 - x_1\vert\).
Substitute \(x_1=-6.4\) and \(x_2 = 0.6\) into the formula: \(d=\vert0.6-(-6.4)\vert\).

Step3: Simplify the expression

\(d=\vert0.6 + 6.4\vert=\vert7\vert = 7\).

Answer:

\(7\)