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vivado [14]
1 year ago
13

The pair of points lies on the same line with the given slope. Find x.

Mathematics
1 answer:
Darya [45]1 year ago
7 0

Answer:

x = 6

Step-by-step explanation:

Find the equation of the line

y = mx + b

Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)

11 = 3(4) +b   Solve for y

11 = 12 + b  Subtract 12 from both sides

-1 = b

y = 3x -1  This is the equation of the line.  Substitute in 17 for y and solve for x

17 = 3x -1  Add 1 to both sides

18 = 3x  Divide both sides by 3

6 = x

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mezya [45]

The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.

The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

<h3>What is the pattern and the function behind a given series?</h3>

In this problem we have two cases of <em>arithmetic</em> series, which are sets of elements generated by a condition in the form of <em>linear</em> function and inside <em>absolute</em> power. <em>Linear</em> <em>functions</em> used in these series are of the form:

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Where:

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  • r - Common difference between two consecutive numbers of the series.
  • x - Index of the element of the series.

The <em>first</em> series uses a <em>linear</em> function with - 1 as <em>first</em> element and 1 as <em>common</em> difference, then the rule corresponding to the series is y = |- 1 + x|.

The <em>second</em> series uses a <em>linear</em> function with - 3 as <em>second</em> element as 2 as <em>common</em> difference, then the rule corresponding to the series is y = |- 3 + 2 · x|.

To learn more on series: brainly.com/question/15415793

#SPJ1

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