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find the distance between the points (-9, 5) and (2, 5). □ units

Question

find the distance between the points (-9, 5) and (2, 5).
□ units

Explanation:

Step1: Recall the distance formula for horizontal points

For two points \((x_1, y_1)\) and \((x_2, y_2)\), if \(y_1 = y_2\), the distance \(d=\vert x_2 - x_1\vert\). Here, \(y_1 = y_2 = 5\), so we use this simplified formula.

Step2: Identify \(x_1\) and \(x_2\)

Let \(x_1=-9\), \(x_2 = 2\). Then calculate \(\vert2 - (-9)\vert=\vert2 + 9\vert=\vert11\vert = 11\).

Answer:

11