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

User Amritha
by
2.8k points

2 Answers

28 votes
28 votes
Exact Form:
2√13

Decimal Form:
7.21110255
User Carelinkz
by
3.0k points
27 votes
27 votes

Answer:

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}}}

User Sarp Centel
by
2.9k points