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To find the distance between the points \((3, -5)\) and \((-2, -7)\), we can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Let's plug in the values where \((x_1, y_1) = (3, -5)\) and \((x_2, y_2) = (-2, -7)\):
\[
d = \sqrt{((-2) - 3)^2 + ((-7) - (-5))^2}
\]
Calculating the differences:
\[
d = \sqrt{(-5)^2 + (-2)^2}
\]
Calculating the squares:
\[
d = \sqrt{25 + 4} = \sqrt{29}
\]
Now we can calculate \(\sqrt{29}\):
\[
\sqrt{29} \approx 5.385
\]
Rounding this to the nearest tenth gives us:
\[
5.4
\]
Thus, the distance between the two points, rounded up to the nearest tenth, is about **5.4** units.