Respuesta :

Answer: 5

The Distance between the coordinates of two points is measured by distance formula.

Step-by-step explanation:

The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by

Distance PQ= [tex]\sqrt{}[/tex](x2-x1)²+(y2-y1)²

So, the distance between (-1,4 ) and (2,0) can be calculated by

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

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

              =[tex]\sqrt{}[/tex]9+16 = [tex]\sqrt{}[/tex]25                                                  as    [tex]\sqrt{}[/tex]25 = 5

Distance = 5

So the distance between the two coordinates is 5.