Find the distance between the points (9,2) and (3,10). Write your answer as a whole number or a fully simplified radical expression. Do not round.

Respuesta :

you'd do the same as in the previous one, use the distance formula,

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 9}} &,&{{ 2}}~) % (c,d) &&(~{{ 3}} &,&{{ 10}}~) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{(3-9)^2+(10-2)^2}\implies d=\sqrt{(-6)^2+8^2} \\\\\\ d=\sqrt{36+64} \implies d=\sqrt{100}\implies d=10[/tex]