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]