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Vladimir [108]
3 years ago
10

Find the value of k so that the line through the given points has the given slope.

Mathematics
1 answer:
Kay [80]3 years ago
7 0

The formula of a slope:

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

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}

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GarryVolchara [31]

Answer: (b)

Step-by-step explanation:

Given

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For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

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5 0
3 years ago
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your
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Answer:

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7 0
3 years ago
What is the ratio of 30 divided by 4:2
klasskru [66]
4:2 can represented as 4 / 2. Or also 2.

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7 0
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d1i1m1o1n [39]
An exponential function is :
f ( x ) = a * b^x,
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f ( x ) = 240 * 1.16^x
Answer:
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