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Sonbull [250]
3 years ago
14

Refer to the sequence 11, 16, 21, 26, 31, 36. Explain why the terms in the sequence will continue to alternate between even and

odd numbers
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Explanation:

The common difference of this arithmetic sequence is 5. Adding 5 to an even number gives an odd number, and vice versa. Hence the "parity" of the terms in the sequence must alternate between odd and even.

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2 years ago
Write a equation in slope intercept form of the line that passes through the given point and is perpendicular to the graph of th
soldi70 [24.7K]

Answer:

The perpendicular line would be y = -2x - 4

Step-by-step explanation:

First we must solve the original equation for y.

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In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

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3 0
3 years ago
What is the slope of the line that passes through (-6,1) and (2,5)?
kow [346]
Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.
8 0
3 years ago
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