To find the distance between the two points \((-7, -4)\) and \( (3, -6) \), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \((x_1, y_1) = (-7, -4)\) and \((x_2, y_2) = (3, -6)\).
Plugging in the values:
\[ d = \sqrt{(3 - (-7))^2 + (-6 - (-4))^2} \]
Calculating the differences:
\[ d = \sqrt{(3 + 7)^2 + (-6 + 4)^2} \] \[ d = \sqrt{(10)^2 + (-2)^2} \] \[ d = \sqrt{100 + 4} \] \[ d = \sqrt{104} \]
Now, we can simplify \(\sqrt{104}\):
\[ \sqrt{104} \approx 10.198 \]
Rounding to the nearest tenth, the distance \(d\) is approximately:
\[ \boxed{10.2} \]
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