Question

find the distance using the distance formula for the following two points A (2,8) and B (-6,-4)

A 14
B 15
C 14.42
D 15.42

Answer 1

\[\sqrt{(-6-2)^{2} + (-4-8)^{2}} = \sqrt{208}= 14.42\]

Answer 2

Distance formula is:
sqrt( (x2 - x1)^2 + (y2 - y1)^2 ) =
sqrt( (-6 - 2)^2 + (-4 - 8)^2 ) =
sqrt( (-8)^2 + (-12)^2) = sqrt ( 64 + 144 ) = sqrt (208) = 14.42

Answer 3

Distance formula\[ \sqrt{(x_{1}-x_{2})^{2} +({y_1}-y_{2})^{2}}\]
Insert values\[ \sqrt{(2--6)^{2} +(8--4)^{2}}\]
\[= \sqrt{8^{2} +12^{2}}\]
\[= \sqrt{64 +144}\]
\[= \sqrt{208}= 4\sqrt{13}=14.42\]

The answer is D