Question

You can walk over the mountains to
your campsite or take a safer, easier trip around the mountains. You
are on the ground at P(0, 0) and the campsite is at C(-2, 7). You
travel around the mountain by going to A(2, 5). The coordinate
system is measured in meters. Draw a diagram of the situation.
Find PA and AC.

Answer 1

Answer:

PA = $\sqrt{29}$

AC =$\sqrt[2]{5}$

Step-by-step explanation:

distance formula : if $(x_{1},y_{1}) and (x_{2},y_{2})$ are two points on a line segment then distance between both the points is given by distance formula.

$d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}$

therefore ,

given points are , A(2, 5),  P(0, 0), C(-2, 7).

so PA = $\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}$

    PA = $\sqrt{\229}$

similarly,

AC = $\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}$

AC = $\sqrt{20} = \sqrt[2]{5}$

more questions on lines and distance formula at

https://brainly.com/question/25841655

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