Point f lies between points g and m. gf =12x+4, fm=16 and gm =16x what is the value of x

1 answer:

8 0

$\underset{\leftarrow \qquad \text{\LARGE 16x}\qquad \to }{\stackrel{12x + 4}{G\rule[0.35em]{10em}{0.25pt}} F\stackrel{16}{\rule[0.35em]{16em}{0.25pt}M}} \\\\\\ \stackrel{GF}{12x+4} ~~ + ~~ \stackrel{FM}{16} ~~ = ~~ \stackrel{GM }{16x}\qquad \implies 12x+20=16x \\\\\\ 20=4x\implies \cfrac{20}{4}=x\implies 5=x$

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Hi again

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Factor
= (x + 2)(x -4)
Answer : A is the correct option.

If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
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Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8

I hope that's help !

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