What is the distance between the points (–4, 2) and (3, –5)? d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

StartRoot 10 EndRoot
StartRoot 28 EndRoot
StartRoot 98 EndRoot
StartRoot 117 EndRoot
Use the distance formula to find the distance between (−8, 2.5) and (0, −4.5).

d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

1. Substitute coordinates: d = StartRoot (negative 8 minus 0) squared + (2.5 minus (negative 4.5)) squared EndRoot

2. Simplify parentheses: d = StartRoot (negative 8) squared + (7) squared EndRoot

3. Evaluate powers: d = StartRoot 64 + 49 EndRoot

4. Simplify.

What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth.

d ≈