question 5
ava and jordan are exploring a national park. using gps coordinates on their map, they determine that they are currently standing at the point (-3, 12). they plan to hike to a scenic overlook located at the point (9, -4). what is the distance between the two locations to the nearest tenth of a unit?
a. the overlook is 15.2 units away. c. the overlook is 20.0 units away.
b. the overlook is 18.4 units away. d. the overlook is 21.2 units away.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $(x_1,y_1)=(-3,12)$ and $(x_2,y_2)=(9,-4)$
## Step2: Use the distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute the values:
$$
\begin{align*}
d&=\sqrt{(9-(-3))^2+(-4 - 12)^2}\
&=\sqrt{(9 + 3)^2+(-16)^2}\
&=\sqrt{12^2+(-16)^2}\
&=\sqrt{144 + 256}\
&=\sqrt{400}\
&= 20
\end{align*}
$$

# Answer:
C. The overlook is 20.0 units away.

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: