The distance Jeremy will need to travel between Point C and Point A 19.69 miles.
We have given that,
Jeremy drew out the route he will hike over a 3-day period on the coordinate grid below.
He will hike from Point A to Point B and from Point B to Point C on the first two days.
On day 3, he will hike directly from Point C to Point A.
We have to determine the distance Jeremy will need to travel between Point C and Point A.
What is the distance formula?
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d = distance
(x_1, y_1) = coordinates of the first point
(x_2, y_2) = coordinates of the second point
(4,9)=(x_1,y_1)
(-4,-9)=(x_2,y_2)
[tex]d = \sqrt{(-4 - 4)^2 + (-9-9)^2}\\d=\sqrt{(8)^2+(18)^2} \\d=2\sqrt{97}\\ d=19.69[/tex]
Therefore, The distance Jeremy will need to travel between Point C and Point A 19.69 miles.
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