Question

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.

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:

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Answer:

C. The overlook is 20.0 units away.