Question

find the distance between the pair of points. round to the nearest tenth, if necessary.

Explanation:

Step1: Identify coordinates

Points: \( U(-1, -1) \), \( V(5, 7) \)

Step2: Apply distance formula

Distance formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Substitute \( x_1 = -1, y_1 = -1, x_2 = 5, y_2 = 7 \)
\( d = \sqrt{(5 - (-1))^2 + (7 - (-1))^2} = \sqrt{(6)^2 + (8)^2} \)

Step3: Calculate values

\( \sqrt{36 + 64} = \sqrt{100} = 10 \)

Answer:

10