Question

Find the distance between these points. r(-1, 0), s(8, 6)1-√(26)2-√(85)3-3√(13)

Answer 1

distance between two points, d, is given by

`d= \sqrt{ ( x_(2) - x_(1)) ^(2) + (y_(2) - y_(1)) ^(2) }`
where: (x1, y1) = (-1, 0) and (x2, y2) = (8, 6)

`d= \sqrt{ ( 8 - (-1)) ^(2) + (6 - 0) ^(2) } \\ d= \sqrt{ (9)^(2) + 6^(2) } \\ d= √(81+36) \\ d= √(117) \\ d=10.8 \ units`