Question

1. Find the Distance. Round to the nearest tenths.
(-4, 6) and (3, -7)

Answer 1

13

Explanation:

`(4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^(2) + (y_2 - y_1)^(2) }`

Plug in the given values

`d = \sqrt{(3 - 4)^(2) + ( - 7 - 6)^(2) } \\ d = \sqrt{( - 1)^(2) + {( - 13)}^(2) } \\ d = √(1 + 169) \\ d = √(170) = 13.0`