Answer:
Exact distance = [tex]\sqrt{202}[/tex]
Approximate distance = 14.2127
Work Shown
[tex](x_1,y_1) = (4,9) \text{ and } (x_2, y_2) = (15,18)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-15)^2 + (9-18)^2}\\\\d = \sqrt{(-11)^2 + (-9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]