Mathematics, 05.10.2019 21:30 winterblackburn78
What is the distance between (-5 -4i) and (-4+ 2i) on the complex plane?
Answers: 3
![\bf \begin{array}{clclll} -5-4i&& -4+2i\\ \uparrow &&\uparrow \\ (-5,-4)&&(-4,2) \end{array}\\\\ -------------------------------\\\\ \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -5}}\quad ,&{{ 4}})\quad % (c,d) &({{ -4}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[-4-(-5)]^2+[2-(-4)]^2}\implies d=\sqrt{(-4+5)^2+(2+4)^2} \\\\\\ d=\sqrt{1^2+6^2}\implies d=\sqrt{37}](/tpl/images/0290/9339/e2a5d.png)
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