Question

Find the distance between the points (4, 0) and (–3, 4).

Answer 1

Answer:

$\huge\boxed{\sqrt{65}\approx8.062}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have two points (4, 0) and (-3, 4).

Substitute:

$d=\sqrt{(-3-4)^2+(4-0)^2}=\sqrt{(-7)^2+4^2}=\sqrt{49+16}=\sqrt{65}$