Determine whether the following system of equations is consistent or inconsistent and dependent or independent. y=1/2x+2 -x+2y=4

Step-by-step explanation:

y=1/2X +2 ,-X +2y= 4

2( y=1/2x +2)

2y= x+2

-x =x +2-4

-2x=-2

x=1 #

-1+2y=4

2y=4+1

2y=5

y=5/2

y=2.0

the thermometer is precise but not accurate

step-by-step explanation:

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