Question

find the distance between the points (6, 10) and (6, 2). units submit

Explanation:

Step1: Identify the formula

For two points \((x_1,y_1)\) and \((x_2,y_2)\), the distance formula is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1 = 6,y_1=10,x_2 = 6,y_2 = 2\).

Step2: Substitute the values

Substitute into the formula: \(d=\sqrt{(6 - 6)^2+(2 - 10)^2}\).
First, calculate \((6 - 6)^2=0\) and \((2 - 10)^2=(-8)^2 = 64\).
Then \(d=\sqrt{0 + 64}\).

Step3: Simplify the expression

Since \(\sqrt{64}=8\).

Answer:

\(8\)