Question

Find the distance between the points (0,-2) and (6,-6)

Answer 1

Exact Form:
2√13

Decimal Form:
7.21110255

Answer 2

Formular:

`length = \sqrt{ {(x_(1) - x_(2) )}^(2) + {(y_(1) - y_(2) ) }^(2) }`

x1 » 0

x2 » 6

y1 » -2

y2 » -6

`l = \sqrt{ {(0 - 6)}^(2) + {( - 2 - 6)}^(2) } \\ \\ l = \sqrt{ {( - 6)}^(2) + {( - 8)}^(2) } \\ \\ l = √(36 + 64) \\ \\ l = √(100)`

for the √100 in surds:

`l = √(10 * 10) = \sqrt{ {10}^(2) } = ( {10}^(2) ) {}^{ (1)/(2) } \\ \\ { \boxed{ \boxed{distance = 10 \: \: units}}}`