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inysia [295]
3 years ago
10

Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equati

on given above?A. -2w + 21 = -8w + 36\\B. -\frac{5}{6} w + 2 = -34 + 14w\\C. -47 - 10w = -9w -40 - 3w\\D. \frac{9}{7} w = \frac{13}{14} w + 2
Mathematics
1 answer:
cricket20 [7]3 years ago
6 0
12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


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(12,6) \\
x_1=12 \\ y_1=6 \\ \\
(20,22) \\
x_2=20 \\ y_2=22 \\ \\
\hbox{the slope } = \frac{y_2-y_1}{x_2-x_1}=\frac{22-6}{20-12}=\frac{16}{8}=2

The slope is 2.
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3 years ago
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Answer:

slope =2

y intercept = (0,-4)

Step-by-step explanation:

y = 2x - 4

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3 years ago
Suppose the average yearly salary of an individual whose final degree is master's is $40 thousand less than twice that of an ind
Lostsunrise [7]

Answer:

<h2>x=50000  dollars ( the average salary of bachelor degree)</h2><h2>the average salary of Masters degree = 2x-40000</h2><h2>2(50000)-40000=60000 dollars</h2><h2></h2><h2>step by step explanation :</h2>

let x be the salary of individual with bachelor degree

Then the average salary of individual with Masters degree is:

(2x-40000)

the combined of two salaries is 110000:

x+(2x-40000)=110000

3x-40000=110000

3x=110000+40000

x=150000/3

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Step-by-step explanation:

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Let's look at the first rotation to see when \cos(\theta)=\frac{1}{2} happens.

This happens at \frac{\pi}{3} and also at \frac{5\pi}{3}. (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)

Now to find the rest of the solutions we can just make full rotations either way to get back to those points .

That is the solutions are:

\frac{\pi}{3}+2\pi \cdot k

\frac{5\pi}{3}+2\pi \cdot k

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