Respuesta :

Answer: [tex]\sqrt{58}[/tex]

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

Step-by-step explanation:

The distance between two points P(x1,y1) and Q(x2,y2) is measured by Distance formula i.e Distance= [tex]\sqrt{}[/tex](x2-x1)²+(y2-y1)²

So, the distance between the two points P(5,-3) and Q(2,4) can be measured by

Distance PQ = [tex]\sqrt{}[/tex](2-5)²+(4-(-3))²

               PQ = [tex]\sqrt{}[/tex]  (-3)²+7²

               PQ= [tex]\sqrt{}[/tex] 9+49

               PQ=[tex]\sqrt{}[/tex]58

So,the distance of PQ is [tex]\sqrt{58}[/tex]