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Tanzania [10]
2 years ago
13

Translate the sentence into an inequality. The quotient of y and 6 is at least -27.

Mathematics
1 answer:
Umnica [9.8K]2 years ago
4 0

Answer:

y \div 6 \geqslant  - 27

Step-by-step explanation:

The quotient of y and 6 means y/6 or y divided by 6. Any time you hear at least in a problem like this, it means greater than or equal to. -27 is just the other value I. the inequality. When you put it all together, you get y divided by 6 is greater than or equal to negative 27. Hope this helps!!

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
slamgirl [31]

Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

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