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ioda
3 years ago
15

What type of function does the equation below represent? y = 6 x

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

Step-by-step explanation:

it represents a linear function  

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Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side
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so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}

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3 years ago
Lettuce is packaged 4 bags to a box. If there are 3.5 boxes of lettuce in the cooler how many bags of lettuce are there
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If there are 4 bags of lettuce per whole box, 4 x 3 = 12
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