Question

Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth.

Answer 1

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) M&({{ 6}}\quad ,&{{ 16}})\quad % (c,d) Z&({{ -1}}\quad ,&{{ 14}}) \end{array}\quad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ MZ=\sqrt{(-1-6)^2+(14-16)^2}\implies MZ=\sqrt{(-7)^2+(-2)^2} \\\\\\ MZ=\sqrt{49+4}\implies MZ=\sqrt{53}\implies MZ\approx 7.3$