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Serga [27]
3 years ago
14

Which of the following equations, in its simplest form,

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\boxed{x-1+x-2+x}

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻ \boxed{\text{Simplifying the Expression...}}\\\\3x+2+(-5)\\----------------\\\rightarrow 3x+2-5\\\\\rightarrow\boxed{3x-3}\\\\\text{This is not an answer choice, so we would find an expression equivalent to the one above.}⸻⸻⸻⸻

\boxed{2 +3x+5}\\\\\rightarrow 3x + 5 + 2\\\\\rightarrow \boxed{3x + 7}\\\\\text{This is \textbf{NOT} equivalent.}

⸻⸻⸻⸻

\boxed{x-1+x-2+x}}\\\\\rightarrow x+x+x -1-2\\\\\rightarrow \boxed{3x-3}\\\\\text{This is \textbf{equivalent}.}\\\\\text{This answer choice and the expression given has the same result when simplified.}

⸻⸻⸻⸻

\boxed{-3-3x-1+x}}\\\\\rightarrow-3-1-3x+x\\\\\rightarrow -4-2x\\\\\rightarrow \boxed{-2x-4}\\\\\text{This is \textbf{NOT} equivalent.}

⸻⸻⸻⸻

\boxed{3-3x}\\\\\rightarrow{-3x+3}\\\\\text{This is \textbf{NOT} equivalent.}

⸻⸻⸻⸻

\text{Option B, } x-1 +x-2 + x, \text{ should be the correct answer.}

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Answer:

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Step-by-step explanation:

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Solve the equation:

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Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

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