Question

find the distance between the points (-19.2, 13) and (9.7, 13).
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Explanation:

Step1: Identify the y-coordinates

Both points have the same y - coordinate (13), so the distance formula simplifies to the absolute difference of the x - coordinates.

Step2: Calculate the distance

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) when \(y_1 = y_2\) is \(d=\vert x_2 - x_1\vert\). Here, \(x_1=- 19.2\) and \(x_2 = 9.7\). So \(d=\vert9.7-(-19.2)\vert=\vert9.7 + 19.2\vert=\vert28.9\vert = 28.9\).

Answer:

28.9