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abruzzese [7]
3 years ago
10

K - 5 = 12. Solve the equation

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

17 = K

Step-by-step explanation:

Add 5 to both sides to get K = 17

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The slope of the best fit for the 3 given points is 500, so the correct option is b.

<h3>How to find the slope?</h3>

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

s = \frac{y_2 - y_1}{x_2 - x_1}

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 =  \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 =  \frac{5,750 - 4,200}{9 - 6} = 516.7

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S = (483.3 + 500 + 516.7)/3 = 500

So the correct option is b.

If you want to learn more about slopes:

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6 0
2 years ago
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Marina86 [1]

"At most 12" means "the highest we can go is 12". Think of it as the ceiling. So x can equal 12 or it can be smaller. This means x \le 12

<h3>Answer: Choice A</h3>

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Simplify 1- cos^2 Θ / cos^2 Θ<br><br> Answers<br><br> sin2 θ<br><br> cos2 θ<br><br> tan2 θ<br><br> 1
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Answer:

<h3><u /></h3>

<u>Trigonometric identities</u>

<u />

\large \begin{aligned}\cos^2 \theta + \sin^2 \theta & = 1\\\implies \quad \quad \sin^2 \theta & = 1 - \cos^2 \theta\\\\\tan \theta=\dfrac{\sin \theta}{\cos \theta} \end{aligned}

Therefore, using the <u>identities</u>, the given expression can be <em>simplified</em> as follows:

\large\begin{aligned}\implies \dfrac{1- \cos^2 \theta}{\cos^2 \theta} & = \dfrac{\sin^2 \theta}{\cos^2 \theta}\\\\& = \tan^2 \theta\end{aligned}

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