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26-08-2014
Mathematics

Answered

what is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth. Explain ypu answer step by step.

Answer :

26-08-2014

[tex]P(-4,3)\ \ \ \ \ \ Q(6,1)\\\\Distance\ between\ P\ and\ Q:\\PQ=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}\\\\PQ=\sqrt{(6-(-4))^2+(1-3)^2}\\PQ=\sqrt{(6+4)^2+(-2)^2}\\PQ=\sqrt{10^2+4}\\PQ=\sqrt{100+4}\\PQ=\sqrt{104}=10,2[/tex]

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