What is the distance between A and B? Round your answer to the nearest tenth. A coordinate plane is shown. Point A is located at negative 1, 5, and point B is located at 4, 1. A line segment connects the

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asked Jul 17, 2018 89.6k views

5 votes

Mathematics
high-school

NJGL asked

by NJGL

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2 Answers

4 votes

Answer:

6.4

Explanation:

Giapnh answered Jul 18, 2018

by Giapnh

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$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ 1}}\quad ,&{{ 5}})\quad % (c,d) B&({{ 4}}\quad ,&{{ 1}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ AB=√((4-1)^2+(1-5)^2)\implies AB=√(3^2+(-4)^2) \\\\\\ AB=√(9+16)\implies AB=√(25)\implies AB=5$

Ranjjose answered Jul 23, 2018

by Ranjjose

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