Question: Find the distance between the pair of points. Round to the nearest tenth, if necessary.
V(5, 7)
U(-1, -1)
1. **State the problem:** Find the distance between points $V(5,7)$ and $U(-1,-1)$.
2. **Formula:** The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.$$
3. **Substitute values:** Here, $x_1 = 5$, $y_1 = 7$, $x_2 = -1$, and $y_2 = -1$. So,
$$d = \sqrt{(-1 - 5)^2 + (-1 - 7)^2} = \sqrt{(-6)^2 + (-8)^2}.$$
4. **Calculate squares:**
$$d = \sqrt{36 + 64} = \sqrt{100}.$$
5. **Simplify square root:**
$$d = 10.$$
6. **Round if necessary:** The distance is exactly $10$, so no rounding is needed.
**Final answer:** The distance between points $V$ and $U$ is $10$.