Answer:
Distance=[tex]\sqrt{34\\[/tex]
Step-by-step explanation:
The distance between two points in coordinate systems is find by using the Distance Formula:
If two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given, then:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\[/tex]
For the points:
[tex]P(2, 9) \\and \\Q(5, 4)[/tex]
[tex]Distance=\sqrt{(5-2)^2+(4-9)^2}\\\\ =\sqrt{3^2+(-5)^2}\\\\ =\sqrt{9+25}\\\\=\sqrt{34}[/tex]
The distance between the points is [tex]\sqrt{34\\[/tex]
