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hnori22003

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[tex]d = \sqrt{ ({2 - ( - 1)})^{2} + ({3 - ( - 2)})^{2} } \\ [/tex]

[tex]d = \sqrt{ {3}^{2} + {5}^{2} } [/tex]

[tex]d = \sqrt{9 + 25} [/tex]

[tex]d = \sqrt{34} [/tex]

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devishri1977

Answer:

√34

Step-by-step explanation:

A(-2 , -1)   B(3 , 2)

[tex]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}}\\\\=\sqrt{25+9}\\\\=\sqrt{34}[/tex]

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