Question

use the distance formula to find the distance btw 2 points
(36,-22),(-56,-12)

Explanation:

Step1: Identify the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1 = 36,y_1=-22,x_2=-56,y_2 = - 12\).

Step2: Calculate \(x_2 - x_1\) and \(y_2 - y_1\)

\(x_2 - x_1=-56 - 36=-92\), \(y_2 - y_1=-12-(-22)=-12 + 22 = 10\)

Step3: Square the results

\((x_2 - x_1)^2=(-92)^2 = 8464\), \((y_2 - y_1)^2=10^2 = 100\)

Step4: Sum and take square - root

\(d=\sqrt{8464 + 100}=\sqrt{8564}\approx92.55\)

Answer:

The distance between the two points is approximately \(92.55\)