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klemol [59]
3 years ago
8

what is the distance (in units) between points C and D? Round your answer to the nearest hundredth. 3.00 units 3.46 units 4.24 u

nits 6.00 units

Mathematics
1 answer:
n200080 [17]3 years ago
8 0
\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
C(\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad 
D(\stackrel{x_2}{3}~,~\stackrel{y_2}{1})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
CD=\sqrt{(3-0)^2+(1-4)^2}\implies CD=\sqrt{3^2+(-3)^2}
\\\\\\
CD=\sqrt{18}\implies CD=\sqrt{2\cdot 9}\implies CD=\sqrt{2\cdot 3^2}\implies CD=3\sqrt{2}
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