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MatroZZZ [7]
3 years ago
11

Which of the following equations represents a line that is perpendicular to

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

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

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================

\text{We have the equation:}\ y=-2x+4\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinate of the point (4, 2) to the equation:}\\\\2=\dfrac{1}{2}(4)+b\\\\2=2+b\qquad\text{subtract 2 from both sides}\\\\0=b\to b=0.\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x

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Percent basically means out of 100. So in this case its 44 out of a hundred or 44%

7 0
3 years ago
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Step-by-step explanation:

\\It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. \\Let D represent the dogs and C represent the Cat , then we have

\\D C D C D C D C D D   or

\\D  D C D C D C D C D  or

\\D C DD C D C D C D or

\\D C D C D D C D C D or

\\D C D C D C DD C D

\\Each of the arrangements above  could be done in

\\2 x 4! x 4!  ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's  , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )

\\= 2 x 24 x 24

\\ = 1 , 152

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3 years ago
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sashaice [31]

Answer:

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Step-by-step explanation:

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