Answer:
[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)
Step-by-step explanation:
To find the distance between a pair of two 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 (-1,-2) and (8,9) into the formula and simplify:
[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]
So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.
(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)
