Question

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

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(5, - 5)\) and \((x_2,y_2)=(2,-5)\).

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Substitute the values: \(d=\sqrt{(2 - 5)^2+(-5+5)^2}\)

Step3: Simplify the expression

First, calculate \((2 - 5)^2=(-3)^2 = 9\) and \((-5 + 5)^2=0^2=0\). Then \(d=\sqrt{9+0}=\sqrt{9}\)

Step4: Find the square - root

Since \(\sqrt{9}=3\)

Answer:

\(3\)