QUESTION IMAGE
Question
geometry assessment
name: name redacted
date: 10/7/20
4 points per question
find ab if the coordinate of a is - 4 and the coordinate of b is 7.
Step1: Recall distance formula
The distance between two points on a number - line is given by \(d=\vert x_2 - x_1\vert\), where \(x_1\) and \(x_2\) are the coordinates of the two points. Here, let \(x_1=-4\) (coordinate of \(A\)) and \(x_2 = 7\) (coordinate of \(B\)).
Step2: Calculate the distance
\(AB=\vert7-(-4)\vert=\vert7 + 4\vert=\vert11\vert = 11\)
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