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leena

Hi there! :)

[tex]\large\boxed{d = \sqrt{73}}[/tex]

Use the distance formula to solve for the distance between P and Q:

[tex]d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 }[/tex]

The coordinates of point P are (-3, 2) and the coordinates of point Q are (5, -1). Plug these values into the equation above:

[tex]d = \sqrt {\left( {5- (-3) } \right)^2 + \left( {-1 - 2 } \right)^2 }[/tex]

Simplify:

[tex]d = \sqrt {\left( 8 } \right)^2 + \left( {-4} \right)^2 }[/tex]

[tex]d = \sqrt {64 + 9 }[/tex]

[tex]d = \sqrt{73}[/tex]

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