Question

1. what’s the distance between (-8, -6) and (4, 10)?

2. what’s the distance between (5, 14) and (-3, -9)?

Answer 1

Use the formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`(-8,\ -6),\ (4,\ 10)\\\\d=√((4-(-8))^2+(10-(-6))^2)=√(12^2+16^2)\\\\=√(144+256)=√(400)=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=√((-3-5)^2+(-9-14)^2)=√((-8)^2+(-23)^2)\\\\=√(64+529)=\boxed{√(593)\approx24.35}`