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iren [92.7K]
3 years ago
11

Find the LCM of these numbers: 18, 27

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

The answer is 54 hope this helps

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Find the unit vector in the direction of u = (-3,2).
DENIUS [597]
\bf \textit{unit vector for }(a,b)\implies \left( \cfrac{a}{\sqrt{a^2+b^2}}~~,~~\cfrac{b}{\sqrt{a^2+b^2}} \right)\\\\
-------------------------------\\\\
(-3,2)\qquad \stackrel{unit~vector}{\implies }\qquad \left( \cfrac{-3}{\sqrt{(-3)^2+2^2}}~~,~~\cfrac{2}{\sqrt{(-3)^2+2^2}} \right)
\\\\\\
\left( -\cfrac{3}{\sqrt{13}}~~,~~ \cfrac{2}{\sqrt{13}}\right)\\\\
-------------------------------

\bf \textit{and now let's \underline{rationalize} the denominator for each}
\\\\\\
-\cfrac{3}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies -\cfrac{3\sqrt{13}}{13} \qquad \qquad \qquad \qquad  \cfrac{2}{\sqrt{13}}\cdot \cfrac{\sqrt{13}}{\sqrt{13}}\implies \cfrac{2\sqrt{13}}{13}
\\\\\\
\textit{and written in \underline{ai+bj form}}\qquad -\cfrac{3\sqrt{13}}{13}i~~~~+~~~~\cfrac{2\sqrt{13}}{13}j
7 0
3 years ago
While riding her bike to the ocean and back home 5 times, Kimberly timed herself at 53min, 48min, 56min, 54min, and 45min. She h
alex41 [277]

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

         

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

4 0
2 years ago
How do i find the measure of these? i’m lost in math
Rina8888 [55]

Answer: Answers and work are all in the picture that I attached. Hope this helps

7 0
3 years ago
Can you find the slope -intercept equation of each line code ?​
ikadub [295]

Answer:

You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.

Step-by-step explanation:

The Slope-Intercept Form Formula: y=mx+b

The m represents the slope while the b represents the y-intercept

You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.

Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.

5 0
2 years ago
What is the slope-intercept form of the equation of the line that passes through (0, 5) and (2, 1)?
11Alexandr11 [23.1K]

Answer:

Y= -2x + 5

Step-by-step explanation:

6 0
3 years ago
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