glenpolanco677 glenpolanco677
  • 01-12-2020
  • Mathematics
contestada

The coordinate plane has the following points A=(2, 1), B=(5, 1), C=(7,2), and 1 point
D=(4,2). What is the length of CD?

Respuesta :

elcharly64
elcharly64 elcharly64
  • 01-12-2020

Answer:

d = 3

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

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

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

[tex]d=\sqrt{(2-2)^2+(7-4)^2}[/tex]

[tex]d=\sqrt{0^2+3^2}[/tex]

[tex]d=\sqrt{9}[/tex]

d = 3

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