To find the distance between the points \((-0.3, 3.3)\) and \((-4.3, 3.9)\), we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, we assign:
- \((x_1, y_1) = (-0.3, 3.3)\)
- \((x_2, y_2) = (-4.3, 3.9)\)
Now, we calculate:
- \(x_2 - x_1 = -4.3 - (-0.3) = -4.3 + 0.3 = -4.0\)
- \(y_2 - y_1 = 3.9 - 3.3 = 0.6\)
Substituting these values into the distance formula:
\[ d = \sqrt{(-4.0)^2 + (0.6)^2} \]
Calculating each square:
\[ (-4.0)^2 = 16.0 \] \[ (0.6)^2 = 0.36 \]
Now, plug these values back into the equation:
\[ d = \sqrt{16.0 + 0.36} = \sqrt{16.36} \]
Calculating the square root:
\[ d \approx 4.032 \]
Finally, rounding to three decimal places, the distance is:
\[ \boxed{4.032} \]
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