To find the distance between points A and B with coordinates A(-3, 5) and B(7, 2), you can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Where \((x_1, y_1)\) are the coordinates of point A and \((x_2, y_2)\) are the coordinates of point B.
Substituting the coordinates of points A and B into the formula:
\[ d = \sqrt{(7 - (-3))^2 + (2 - 5)^2} \]
First, calculate the differences:
\[ d = \sqrt{(7 + 3)^2 + (2 - 5)^2} \] \[ d = \sqrt{(10)^2 + (-3)^2} \] \[ d = \sqrt{100 + 9} \] \[ d = \sqrt{109} \]
Now, calculate \(\sqrt{109}\).
Using a calculator, \(\sqrt{109} \approx 10.4403\).
Rounding to the nearest tenth, the distance between points A and B is approximately:
\[ 10.4 \text{ units} \]
Therefore, the correct response is 10.4 units.