Question

on a number line, the coordinates of x, y, z, and w are -8, -6, 2, and 5, respectively find the lengths of the two segments below then tell whether they are congruent (overline{zx}) and (overline{wy}) the length of (overline{zx}) is 10 (type an integer or a decimal ) the length of (overline{wy}) is (square) (type an integer or a decimal )

Explanation:

Step1: Recall distance formula on number line

The length of a segment between two points with coordinates \(a\) and \(b\) on a number line is \(|a - b|\). For segment \(\overline{WY}\), the coordinates of \(W\) is \(5\) and \(Y\) is \(-6\).

Step2: Apply the formula

Calculate \(|5 - (-6)|\). First, simplify the expression inside the absolute value: \(5-(-6)=5 + 6=11\). Then take the absolute value, \(|11| = 11\).

Answer:

11