Answer:
[tex]\sqrt{290}\ units[/tex]
Step-by-step explanation:
The distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Hence, the distance between points [tex](-4,5)[/tex] and [tex](7,18)[/tex] is
[tex]\sqrt{(-4-7)^2+(5-18)^2}\\ \\=\sqrt{(-11)^2+(-13)^2}\\ \\=\sqrt{121+169}\\ \\=\sqrt{290}\ units[/tex]
