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Find the distance between the pair of points. ​(0​,negative 11​) and ​(negative 9​,negative 12​) The distance is . ​(Round to the nearest thousandth as​ needed.)

Find the distance between the pair of points. ​(0​,negative 11​) and ​(negative 9​,negative 12​) The distance is . ​(Round to the nearest thousandth as​ needed.)
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4 votes
Find the distance between the pair of points.

​(0​,negative 11​) and ​(negative 9​,negative 12​)
The distance is
.
​(Round to the nearest thousandth as​ needed.)

User G Wimpassinger
by
7.4k points

1 Answer

2 votes

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& -11~) % (c,d) &&(~ -9 &,& -12~) \end{array} \\\\\\ d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([-9-0]^2+[-12-(-11)]^2) \\\\\\ d=√((-9-0)^2+(-12+11)^2) \\\\\\ d=√((-9)^2+(-1)^2)\implies d=√(82)
User Wiero
by
8.1k points
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