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Bot GPT-4o To find the distance between the points \( P(4, 6) \) and \( Q(8, 9) \), we can use the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Given:
\( P(4, 6) \) and \( Q(8, 9) \),
Substitute the coordinates into the formula:
\[
d = \sqrt{(8 - 4)^2 + (9 - 6)^2}
\]
\[
d = \sqrt{4^2 + 3^2}
\]
\[
d = \sqrt{16 + 9}
\]
\[
d = \sqrt{25}
\]
\[
d = 5
\]
Therefore, the distance between the points P and Q is 5 units. The nearest tenth value is \( 5.0 \), but since 5 is a whole number it is sufficient.
So the correct answer is:
**5**