1. Edna leaves the entrance to the trail at dawn to hike 12 miles toward the lake, where her friend Maria is campling. At the same time, Maria starts her hike toward the trail entrance to meet Edna. Edna is walking
at 1.5 mi/h, while Maria averages 2.5 mi/h. When and where will they meet?

(3,4.5)

Step-by-step explanation:

y=0+1.5x

y=12-2.5x

0+1.5x = 12 - 2.5x

First you replace y with the first equation to make a new equation of 0+1.5x = 12 - 2.5x. And then after that you will cancel out 2.5 with adding and then add 2.5 to 1.5. After you add them you get 4 and then divide to get x by itself 4/4     12/4   You get x=3 And then you will solve by replacing canceling out and replacing x with 3 to get 4.5.    

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4