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To calculate the distance between points \( A \) and \( B \) on the coordinate plane, we can use the distance formula, which is:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Here, point \( A \) is at coordinates \((-3, 5)\), and point \( B \) is at coordinates \((6, 2)\).

Substituting the coordinates into the formula:

\[
d = \sqrt{(6 - (-3))^2 + (2 - 5)^2}
\]
\[
d = \sqrt{(6 + 3)^2 + (2 - 5)^2}
\]
\[
d = \sqrt{9^2 + (-3)^2}
\]
\[
d = \sqrt{81 + 9}
\]
\[
d = \sqrt{90} \approx 9.49
\]

Rounding to the nearest tenth, the distance between points \( A \) and \( B \) is approximately **9.5 units**. However, based on the provided multiple-choice options, it seems there is a rounding mismatch, and the nearest choice would be **10.0 units**.

Would you like further clarification or more details? Here are some related questions:

1. How is the distance formula derived?
2. What is the significance of each term in the distance formula?
3. Can you explain how to plot points in a coordinate plane?
4. How would this calculation change in 3D space?
5. How can we apply the Pythagorean theorem to find the distance between two points?

**Tip**: Always double-check the units in word problems to ensure consistency in answers.

To the nearest tenth of a unit, what is the distance between points A and B?

Learn how to find the distance between points A (-3, 5) and B (6, 2) on a coordinate plane using the distance formula. This problem includes applying the Pythagorean theorem and calculating the exact distance to the nearest tenth, ideal for students in Grades 8-10.

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