Question

Find the distance between A(7, – 4) and B(–5, 1).​

Answer 1

Answer:

13 units

Step-by-step explanation:

Given points,

A(7, – 4) and B(–5, 1)

let x₁ = 7 ; y₁ = -4

    x₂ = -5 ; y₂ = 1

$\text{The distance between two points is given by} \\ \boxed{=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }$

distance between A(7, – 4) and B(–5, 1).

$=\sqrt{(-5-7)^2+(1-(-4))^2} \\\\ =\sqrt{(-12)^2+(1+4)^2} \\\\ =\sqrt{144+5^2} \\\\ =\sqrt{144+25} \\\\ =\sqrt{169} \\\\ =13 \ units$

Answer 2

Answer:

this is your answer. The answer of this question is 13 units