Respuesta :

Answer:

2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

use the distance formula for points P and Q

d = sq rt of the difference of the y-values, squared, plus the difference of the x-values, squared

d = sq rt (3-1)^2 + (-2-2)^2

d = sq rt (2^2 + (-4)^2)

d = [tex]\sqrt{4+16}[/tex]

d = [tex]\sqrt{20}[/tex]

d = [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex]

f = 2[tex]\sqrt{5}[/tex]