Question

find x on \\(\overline{be}\\) that is \\(\frac{3}{5}\\) of the distance from b to e.

Explanation:

Step1: Find coordinates of B and E

From the number line, \( B = -1 \), \( E = 9 \).

Step2: Calculate the distance from B to E

The distance \( d = E - B = 9 - (-1) = 10 \).

Step3: Find \(\frac{3}{5}\) of the distance

\(\frac{3}{5}\) of \( 10 \) is \( \frac{3}{5} \times 10 = 6 \).

Step4: Find the coordinate of X

Start at B (\(-1\)) and move \( 6 \) units towards E: \( X = -1 + 6 = 5 \).

Answer:

\( 5 \)