Question

What is the distance between point A(-2,-1) and point B (3,2)?

Answer 1

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`d = \sqrt{ ({2 - ( - 1)})^(2) + ({3 - ( - 2)})^(2) } \\`

`d = \sqrt{ {3}^(2) + {5}^(2) }`

`d = √(9 + 25)`

`d = √(34)`

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Answer 2

√34

Explanation:

A(-2 , -1) B(3 , 2)

`Distance = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}\\\\ =\sqrt{(3-[-2])^(2)+(2-[-1])^(2)} \\\\=\sqrt{(3+2)^(2)+(2+1)^(2)}\\\\=\sqrt{5^(2)+3^(2)}\\\\=√(25+9)\\\\=√(34)`