Answer:
16.64
Step-by-step explanation:
Distance between any two points (x1,y1) and (x2,y2) is given by
Distance = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
Given point
X(-3, 8) and Y (6, -6).
The distance XY will be
[tex]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[/tex]
Thus, distance between X(-3, 8) and Y (6, -6) is 16.64 , rounded to nearest tenth.
