Which expression gives the distance between the points (2,4) and (5,3)?

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer: $\sqrt{10}$

Step-by-step explanation:

$d = \sqrt{(x_{2}-x_1)^2 + (y_{2}-y_1)^2 } \\x_2 = 5\\x_1 = 2\\y_2 = 3\\y_1 = 4\\\\\\d = \sqrt{(5-2)^2 + (3-4)^2 } \\\\d = \sqrt{3^2 + 1^2}\\d = \sqrt{10}$

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$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
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% (c,d)
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$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
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$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
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\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
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