Question

Find the length of the segment. round to the nearest tenth of a unit Q(-3,5) R(2,3)

Answer 1

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) Q&({{ -3}}\quad ,&{{ 5}})\quad % (c,d) R&({{ 2}}\quad ,&{{ 3}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ QR=\sqrt{[2-(-3)]^2+[3-5]^2}\implies QR=\sqrt{(2+3)^2+(3-5)^2} \\\\\\ QR=\sqrt{5^2+(-2)^2}\implies QR=\sqrt{25+4}\implies QR=\sqrt{29}$