Question

Question Details

Find the distance between X(-3, 8) and Y (6, -6).
Round answer to the nearest tenth. Pls show work

Answer 1

16.64

Explanation:

Distance between any two points (x1,y1) and (x2,y2) is given by

Distance =
`\sqrt{(x1-x2)^(2) + (y1-y2)^(2) }`

Given point

X(-3, 8) and Y (6, -6).

The distance XY will be

`XY = \sqrt{(-3-6)^(2) + (8 - (-6)^(2) }\\XY = \sqrt{(-9)^(2) + (8 +6)^(2) }\\XY = √(81 + 196 )\\XY = √(277 )\\XY = 16.64`

Thus, distance between X(-3, 8) and Y (6, -6) is 16.64 , rounded to nearest tenth.