Question

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

(5, 14) and (−3, −9)

Answer 1

`d=√(593)`

Explanation:

Distance Between two Points in the Plane

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

`d=√((z-y)^2+(w-x)^2)`

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

`d=√((-9-14)^2+(-3-5)^2)`

`d=√((-23)^2+(-8)^2)`

`d=√(529+64)`

`\boxed{d=√(593)}`