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katrin [286]
3 years ago
12

Whats the last common multple of 2,5,6,9 and 9 is

Mathematics
1 answer:
blondinia [14]3 years ago
3 0
"9 and 9?"  Did you possibly mean {2, 5, 6, 9}?

The least common multiple of a set of numbers is the smallest integer that can be divided evenly by all of the numbers.  In this case, when I saw the 9 and 5, I thought, "45!"  but 45 is not evenly divisible by 2 or 6.  

So, I tried 90.  90 is indeed divisible by {2, 5, 6, 9}, and is thus the LCM.

Look up and review "Least common multiple."

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Since tree diagram is not given in the question, I am attaching a tree diagram for the coin tossed 3 times.

Step-by-step explanation:

The coin is tossed 3 times. We need to find the tree diagram that shows all the possible outcomes of the coin landing heads up or tails up

Since tree diagram is not given in the question, I am attaching a tree diagram for the coin tossed 3 times.

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4 years ago
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3 years ago
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Lines a and b are perpendicular. If the slope of line a is 3, what is the slope of line b?
erma4kov [3.2K]

Answer:

\large\boxed{D.\ -\dfrac{1}{3}}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ ||\ k\iff m_2=m_1\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\-------------------\\\\\text{We have the slope of given line a:}\ m_1=3.\ \text{Therefore the slope of a line b}\\\text{perpendicular to a is: }\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{3}

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