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Zolol [24]
3 years ago
14

-3(y+4)=21 solve for y show all work please , thank u

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
7 0
Distribute negative 3 to y and 4. After distributing you should have -3y+-12=21. 21 plus 12 equals 33. 33 divides by negative 3 equals negative 11.
PolarNik [594]3 years ago
3 0
Expand the brackets first
-3y-12=21
add 12 
-3y=33
divide by -3
y= -11
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Answer:

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

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}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.

\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}

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Answer:

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Step-by-step explanation:

He said he had atleast 1 of each. Hope it helps.

7 0
4 years ago
Read 2 more answers
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