#### Answer

$5 \text{ units}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Use the Distance Formula to find the distance between the given points $\left(
4.7,2.3
\right)$ and $\left(
1.7,-1.7
\right)$.
$\bf{\text{Solution Details:}}$
With the given points, then $x_1=
4.7
,$ $x_2=
1.7
,$ $y_1=
2.3
,$ and $y_2=
-1.7
.$ Using the Distance Formula which is given by $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
,$ then
\begin{array}{l}\require{cancel}
d=\sqrt{(4.7-1.7)^2+(2.3-(-1.7))^2}
\\\\
d=\sqrt{(4.7-1.7)^2+(2.3+1.7)^2}
\\\\
d=\sqrt{(3)^2+(4)^2}
\\\\
d=\sqrt{9+16}
\\\\
d=\sqrt{25}
\\\\
d=\sqrt{(5)^2}
\\\\
d=5
.\end{array}
Hence, the distance is $
5 \text{ units}
.$