Answer:
[tex]\sqrt{73}[/tex] units (or about 8.5 units, rounding to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (9,0) and (6,-8) into the formula and simplify:
[tex]d= \sqrt{(9-6)^2+(0+8)^2} \\d = \sqrt{(3)^2+(8)^2}\\d = \sqrt{9+64} \\d = \sqrt{73}[/tex]
So, as an exact answer, the distance is [tex]\sqrt{73}[/tex] units.
To find the decimal approximation of that, put that value into a calculator. So, rounding to the nearest tenth, [tex]\sqrt{73}[/tex] is about 8.5 units.
