Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3 x - 1 = 0
A. -2x + 3y - 6 = 0
B. 2x - 3y + 6 = 0
C. 2x - 3y - 6 = 0

Correct Answer is .. 2x - 3y + 6 = 0

B. 2x - 3y + 6 = 0 Is the correct answer

1; 35 is the ratio

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