the units of the subway map below are in miles. suppose the routes between stations are straight. find the approximate distance a passenger would travel between stations j and k.
the distance from station j to station k is approximately miles.
(round to the nearest tenth as needed.)

Question

Accepted Answer

# Explanation:
## Step1: Find the coordinates of points J and K
Assume the coordinates of point J are $(x_1,y_1)=(6,2)$ and the coordinates of point K are $(x_2,y_2)=(3, - 1)$
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 6,y_1 = 2,x_2 = 3,y_2=-1$ into the formula:
$$
\begin{align*}
d&=\sqrt{(3 - 6)^2+(-1 - 2)^2}\
&=\sqrt{(-3)^2+(-3)^2}\
&=\sqrt{9 + 9}\
&=\sqrt{18}\
&=3\sqrt{2}\approx4.2
\end{align*}
$$

# Answer:
$4.2$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the coordinates of points J and K

Step2: Use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: