To find the distance between the two points \((-8, -3)\) and \((-2, -5)\), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
where \((x_1, y_1) = (-8, -3)\) and \((x_2, y_2) = (-2, -5)\).
Now plug in the values:
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Calculate \(x_2 - x_1\): \[ -2 - (-8) = -2 + 8 = 6 \]
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Calculate \(y_2 - y_1\): \[ -5 - (-3) = -5 + 3 = -2 \]
Now substitute these into the distance formula:
\[ d = \sqrt{(6)^2 + (-2)^2} \]
Calculating the squares:
\[ d = \sqrt{36 + 4} = \sqrt{40} \]
Now simplify \(\sqrt{40}\):
\[ \sqrt{40} = \sqrt{4 \cdot 10} = 2\sqrt{10} \]
Now we calculate \(2\sqrt{10}\) using the approximate value of \(\sqrt{10} \approx 3.162\):
\[ d \approx 2 \times 3.162 = 6.324 \]
Rounding to the nearest hundredth, we get:
\[ \boxed{6.32} \text{ units} \]