Simplify the following expression:
- 10x + 15 - 3x + 2
a: -7x+17
b - 13x+17
c 13xsquared + 17
d: 13xsquared + 13

Step-by-step explanation:

Add the like term

Here -10x , -3x are like terms

       15 , 2 are like terms

Bring the like terms together.

-10x + 15 - 3x + 2 = -10x - 3x +15 +2

                           = -13x + 17

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

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