Point C has the coordinates (-1,4) and point D has the coordinates (2,0). What is the distance between points C and D? Is ____ units

Point C has the coordinates 14 and point D has the coordinates 20 What is the distance between points C and D Is units class=

Respuesta :

Answer: 5 units

Step-by-step explanation:

[tex]Distance = \sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2\\[/tex]

[tex]= \sqrt{(2_ }- (-1)_{ })^2 + (0_{ }- 4_{ })^2[/tex]

[tex]= \sqrt{(2_{ }+ 1_{ })^2 + (-4)^2_[/tex]

[tex]= \sqrt{3^2+(-4)^2}[/tex]

[tex]= \sqrt{9+16}[/tex]

[tex]= \sqrt{25}[/tex]

[tex]= 5 units[/tex]