Question

Question Details

Answer 1

Answer:

16.64

Step-by-step 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

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

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