Mathematics, 21.09.2019 11:10 brittneyhiebert5583
What is the length of a segment with endpoints (-4,5) and (-6,9)
Answers: 3
![\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -4}}\quad ,&{{ 5}})\quad % (c,d) &({{ -6}}\quad ,&{{ 9}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[-6-(-4)]^2+[9-5]^2}\implies d=\sqrt{(-6+4)^2+(9-5)^2} \\\\\\ d=\sqrt{(-2)^2+4^2}\implies d=\sqrt{20}\implies d=\sqrt{2^2\cdot 5}\implies d=2\sqrt{5}](/tpl/images/0249/2076/9ece8.png)
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What is the length of a segment with endpoints (-4,5) and (-6,9)...
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