Question

Find the distance between the points with the given coordinates.√ (copy and paste the radical if necessary, no decimals)

Answer 1

Answer:

$d=\sqrt{593}$

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

$d=\sqrt{(-9-14)^2+(-3-5)^2}$

$d=\sqrt{(-23)^2+(-8)^2}$

$d=\sqrt{529+64}$

$\boxed{d=\sqrt{593}}$