Question

what is the distance between two points A(2,3) and B(-2,4)​

Answer 1

Step-by-step explanation:

$distance = \sqrt{( {2 + 2)}^{2} + ( {3 - 4)}^{2} } \\ = \sqrt{ {4}^{2} + {1}^{2} } \\ = \sqrt{8 + 1} \\ = \sqrt{9} \\ = 3$

Answer 2

$distance \: \: = \sqrt{{ { {(x _{2}- x _{1} ) }^{2} + ( {y_{2} - y_{1} )}^{2} } }} \\ \\ = \sqrt{ {( - 2 - 2)}^{2} + {(4 - 3)}^{2} } \\ \\ = \sqrt{ { ( - 4)}^{2} + ( {1)}^{2} } \\ \\ = \sqrt{16 + 1} \\ \\ = \sqrt{17 } \\ \\ = 4.12 \: \: \: \: \: units$

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