Question

pythagorean distance
what is the horizontal distance a?
points: ( 8, -6 ) ( -5, 3 )
a = δx =?
pythagorean formula c² = a² + b²

Explanation:

Step1: Recall horizontal distance formula

The horizontal distance \(\Delta x\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(|x_2 - x_1|\).

Step2: Identify coordinates

Given points \((8, -6)\) and \((-5, 3)\), so \(x_1 = 8\), \(x_2 = -5\).

Step3: Calculate \(\Delta x\)

\(\Delta x = |-5 - 8| = |-13| = 13\).

Answer:

13