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MaRussiya [10]
4 years ago
5

1. Find the equation of a line that passes through the point (4,1) and is perpendicular to the

Mathematics
1 answer:
slava [35]4 years ago
7 0

Answer:

  x - 4y = 0 . . . in standard form

  y = (1/4)x . . . in slope-intercept form

Step-by-step explanation:

The slope of the given line is ...

  m = (y2 -y1)/(x2 -x1) = (9 -(-7))/(-1 -3) = 16/-4 = -4

The slope of the perpendicular line is the negative reciprocal of this:

  desired slope = -1/m = -1/-4 = 1/4

This can be used in the point-slope form of the equation of a line:

  y -h = m(x -k) . . . . . line with slope m through point (h, k)

Your perpendicular line has a slope of 1/4 and goes through point (4, 1), so its equation can be written as ...

  y -1 = (1/4)(x -4)

  y = (1/4)x -1 +1

  y = (1/4)x

In standard form, this is ...

  4y = x

  x -4y = 0

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<h2> FACTOR pairs are a set of two integers that when multiplied together gives a particular product.</h2>

<h3>FACTOR pairs of 12 are :</h3><h3>1 and 12 because 1 x 12 = 12</h3><h3>2 and 6 because 2 x 6 =12</h3><h3>3 and 4 because 3 x 4 = 12</h3>

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Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

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3 years ago
How to subtract hexadecimal number when one is bigger than the other?
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In order to be simple: let's code hexadecimal numbers on 4 digits.

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If f(n) n2 - 2n, then f(2) = 0. True.or.False?
Lady_Fox [76]

Answer:

True

Step-by-step explanation:

So we know that:

f(n)=n^2-2n

And we are asked to verify whether f(2)=0 is true or false.

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Square and multiply:

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Subtract:

f(2)=0

So, the statement is indeed true.

And we're done!

6 0
4 years ago
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