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Answer :

Solution

To find the distance between (3, 3) and (-3, -2), we use the formula

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

[tex]\begin{gathered} (x_1,y_1)=(3,3) \\ \\ (x_2,y_2)=(-3,-2) \end{gathered}[/tex][tex]\Rightarrow D=\sqrt{(-3-3)^2+(-2-3)^2}=\sqrt{36+25}=\sqrt{61}[/tex]

Therefore, the distance between the points (3, 3) and (-3, -2) is

[tex]D=\sqrt{61}[/tex]

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