find the distance, d, of $ \overline{ab} $.
$ a = ( 1, 0 ) $ $ b = ( 5, 2 ) $
$ d = $
$ d = \sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ { 2 } - y _ { 1 } ) ^ { 2 } } $
round to the nearest tenth

Question

Accepted Answer

# Explanation:
## Step1: Identify coordinates
Let $A=(x_1,y_1)=(1,0)$ and $B=(x_2,y_2)=(5,2)$
## Step2: Substitute into distance formula
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(5 - 1)^2+(2 - 0)^2}\
&=\sqrt{4^2+2^2}\
&=\sqrt{16 + 4}\
&=\sqrt{20}
\end{align*}
$$
## Step3: Simplify and round
$\sqrt{20}\approx4.5$

# Answer:
$4.5$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify coordinates

Step2: Substitute into distance formula

Step3: Simplify and round

Answer: