Answer:
[tex]d=\sqrt{593}[/tex]
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:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
We are given the points (5, 14) and (−3, −9). Substituting into the formula:
[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]
[tex]d=\sqrt{529+64}[/tex]
[tex]\boxed{d=\sqrt{593}}[/tex]
