Find the value of y for given value of x.
1.)x+5; x=3
2.)7x; x=-5
3.)y=1-2x; x=9
4.)y=3x+2; x=0.5
5.)y=2x^3; x=3
6.)y=x/2+9; x=-12

step-by-step explanation:

0

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