Question

using the distance formula, find the distance between point a(2,5) and point b(8,-3). d = √((x₂ - x₁)²+(y₂ - y₁)²) d = √((8 - 2)²+(-3 - 5)²) multiple - choice question what is the distance between these 2 points? (select all that apply) d = 10 d = 36 d = √100

Explanation:

Step1: Substitute coordinates

$d=\sqrt{(8 - 2)^2+(-3 - 5)^2}=\sqrt{6^2+( - 8)^2}$

Step2: Calculate squares and sum

$d=\sqrt{36 + 64}=\sqrt{100}$

Step3: Simplify square - root

$d = 10$

Answer:

$d = 10$, $d=\sqrt{100}$