Question

Find the distance between W ( − 8 , 1 ) and Y ( 0 , 6 ) . Round to the nearest tenth, if necessary.

Answer 1

9.4 (rounded to nearest tenth)

Explanation:

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

In this question x₁ = -8, x₂ = 0, y₁ = 1, y₂ = 6

`d = \sqrt {(0 - (-8))^2 + (6 - 1)^2}`

`d = \sqrt {(8)^2 + (5)^2}`

`d = \sqrt {{64} + {25}}`

`d = \sqrt {89}`

`d = 9.433981`

Rounded to the nearest tenth(first decimal place:

`\boxed {\bold{d = 9.4}}`