Find the distance, $d$, of $A B$.
\[
A=(1,0) B=(5,2)
\]
\[
\begin{array}{c}
d=\sqrt{\left|x_{2}-x_{1}\right|^{2}+\left|y_{2}-y_{1}\right|^{2}} \\
d=[?]
\end{array}
\]
Round to the nearest tenth.
Distance

Answer

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Answer

$\boxed{4.5}$

Steps

Step 1 ：Find the distance between points A and B using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step 2 ：Plug in the coordinates of A (1, 0) and B (5, 2) into the formula: $d = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{16 + 4} = \sqrt{20}$

Step 3 ：Simplify the final answer: $d = 2\sqrt{5}\approx 4.5$

Step 4 ：$\boxed{4.5}$