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Natalija [7]
3 years ago
11

Please help

Mathematics
1 answer:
german3 years ago
4 0

Answer:

17 units

Step-by-step explanation:

Distance between points (a,b)\,,\,(c,d) is given by \sqrt{(c-a)^2+(d-b)^2}

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take (a,b)=(-2,2)\,,\,(c,d)=(5,2)

PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7 units

It goes from Q to R(5, −5)

Take (a,b)=(5,2)\,,\,(c,d)=(5,-5)

QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7 units

It goes from R to S.

Take (a,b)=(5,-5)\,,\,(c,d)=(8,-5)

RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3 units

PQ+QR+RS=7+7+3=17 units

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