To find the distance between the two points \( A(-2, -1) \) and \( B(3, 2) \), we can use the distance formula, which is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (-2, -1)\) and \((x_2, y_2) = (3, 2)\). Plugging in the values:
\[ d = \sqrt{(3 - (-2))^2 + (2 - (-1))^2} \]
This simplifies to:
\[ d = \sqrt{(3 + 2)^2 + (2 + 1)^2} \] \[ d = \sqrt{(5)^2 + (3)^2} \] \[ d = \sqrt{25 + 9} \] \[ d = \sqrt{34} \]
Thus, the distance between point A and point B is \( \sqrt{34} \).
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