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jeka57 [31]
3 years ago
8

6. Which expressions are equivalent to 9x?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

A. & D.

Step-by-step explanation:

A. 8x + x = 9x

B. 9x + x = 10x

C. 10 - x = 10 - x (not like terms)

D. 5x + x + 3x = 9x

E. 7x + x + 2x = 10x

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Step-by-step explanation:

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Step 1: Write equation

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Step 3: Divide both sides by 4

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What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?
Aleonysh [2.5K]

Answer:

\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).

\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}

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