Question

Find the distance between (2,3) and (-4,9). If you get a radical (square

root) answer, enter your answer as a decimal rounded to the second
decimal

Answer 1

Length is 6√2 units or 8.49 units

Explanation:

Length formular:

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

x1 is 2

x2 is -4

y1 is 3

y2 is 9

`length = \sqrt{ {( - 4 - 2)}^(2) + {(9 - 3)}^(2) } \\ \\ = \sqrt{ {( - 6)}^(2) + {6}^(2) } \\ \\ = √(36 + 36) \\ = √(2 * 36) \\ = √(2) * √(36) \\ { \boxed{ \boxed{= 6 √(2) }}} \\ = 8.49 \: units`