Question

find the distance between two points (7,1) and (4,-2)​

Answer 1

Step-by-step explanation:

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Answer 2

$\large\mathscr \color{black}\colorbox{red}{\colorbox{orange}{\colorbox{yellow}{\colorbox{green}{\colorbox{blue}{\colorbox{indigo}{\colorbox{violet}{\underline {ANSWER}}}}}}}}$

${\large\mathscr\color{pink}{Let\:A\rightarrow(7,1)\:and\:B\rightarrow(4,-2)}} \\ \\ \large\tt\color{lightblue}{AB=\sqrt{{(x_2-x_1)}^{2}+{(y_2-y_1)}^{2}}} \\ \\ \large\tt\color{lightblue} {=\sqrt{{(4-7)}^{2}+{(-2-1)^{2}}}} \\ \\ \large\tt\color{lightblue}{ = \sqrt{(-3)^{2}+(-3)^{2}}} \\ \\ \large\tt\color{lightblue}{=\sqrt{9+9} =\sqrt{18}} \\ \\ = \huge\tt\color{lime}{\underline{\underline{3\sqrt{2}}}}$