We are asked to find the distance between the points $(9, 5)$ and $(2, -3)$. We need to round the final answer to the nearest tenth.

1. Problem Description

We are asked to find the distance between the points $(9, 5)$ and $(2, -3)$. We need to round the final answer to the nearest tenth.

2. Solution Steps

We can use the distance formula to find the distance between two points $(x_1, y_1)$ and $(x_2, y_2)$:

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

In this problem, we have $(x_1, y_1) = (9, 5)$ and $(x_2, y_2) = (2, -3)$. Plugging these values into the distance formula, we get:

$d = \sqrt{(2 - 9)^2 + (-3 - 5)^2}$

$d = \sqrt{(-7)^2 + (-8)^2}$

$d = \sqrt{49 + 64}$

$d = \sqrt{113}$

Now we need to approximate $\sqrt{113}$ to the nearest tenth. We know that $10^2 = 100$ and $11^2 = 121$, so $\sqrt{113}$ is between 10 and

1

1. Using a calculator, we find that $\sqrt{113} \approx 10.63014581$. Rounding to the nearest tenth gives 10.

6.

3. Final Answer

The distance between the points is approximately 10.6 units.