Answer:
[tex]Distance(PQ)=\sqrt{113}[/tex]
Step-by-step explanation:
In coordinate geometry distance between the two points can be find by using the distance formula:
For two points :
[tex](x_1,y_1)\\and \\(x_2,y_2)[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For points: P(3,-1) and Q(-5,6)
Distance (PQ):
[tex]=\sqrt{(-5-3)^2+(6-(-1))^2} \\\\=\sqrt{(-8)^2+(6+1)^2}\\\\ =\sqrt{(-8)^2+(7)^2} \\\\=\sqrt{64+49}\\\\Distance(PQ) =\sqrt{113}\\\\[/tex]
