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Anastaziya [24]
3 years ago
14

What is the slope line passing through the points (2, 5) and (-1, -4) Show all of your work.

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

<h2>The slope m = 3</h2>

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5) and (-1, -4). Substitute:

m=\dfrac{-4-5}{-1-2}=\dfrac{-9}{-3}=3

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A plane is uniquely determined by three non-collinear points. What is the maximum possible number of planes that can be determin
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Step-by-step explanation:

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3 years ago
-10(x+12)-11x.........................,............
NNADVOKAT [17]
-10x -120-11x
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2 years ago
<img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%283x%20%2B%204%29%20%20-%207%20log_%7B4%7D%7Bx%7D%5E%7B2%7D%20%20%2B%20%20log_%
olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}

To change the second term as follows:

\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}

Finally, using the property

\log(a^b)=b\log(a)

we have

\dfrac{\log_2(x^2)}{2}=\log_2(x)

So, the equation becomes

\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2

We can now use the formula

\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)

to write the equation as

\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2

Now consider both sides as exponents of 2:

\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0

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5 0
3 years ago
Is the following a fixed or a variable expense?
ivanzaharov [21]

Answer:

A) Fixed Expense

Step-by-step explanation:

life insurance are also fixed payments.

3 0
2 years ago
Read 2 more answers
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