Question

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 ≈

Answer 1

d = sqrt((−8 − 0)^2 + (2.5 − (−4.5))^2) = sqrt(64 + 49) = sqrt(113) ≈ 10.63.