rebekahswede43 rebekahswede43
  • 10-12-2019
  • Mathematics
contestada

What is the distance, in units, between the points (5,2) and (-3,6) in the standard (x,y) coordinate plane?

Respuesta :

elcharly64
elcharly64 elcharly64
  • 15-12-2019

Answer:

[tex]d=\sqrt{80}\ units[/tex]

Step-by-step explanation:

Distance In The XY Plane

Given two points in the plane (a,b) and (c,d), the distance between them is computed by

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

The points are (5,2) and (-3,6), so a=5, b=2, c=-3, d=6

[tex]d=\sqrt{(-3-5)^2+(6-2)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(4)^2}[/tex]

[tex]d=\sqrt{64+16}[/tex]

[tex]d=\sqrt{80}\ units[/tex]

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