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Leokris [45]
3 years ago
9

Write the equation of the line that passes through the points (2,2) and (3,4)

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

9514 1404 393

Answer:

  y -2 = 2(x -2)

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4 -2)/(3 -2) = 2/1 = 2

The point-slope form of the equation for the line is ...

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

For the first point and the slope we found, the equation is ...

  y -2 = 2(x -2)

__

You can rearrange this to any form you may like.

  y -2 = 2x -4 . . . eliminate parentheses

  y = 2x -2 . . . . . slope-intercept form

  2x -y = 2 . . . . . standard form

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kozerog [31]
<h3><u>Question</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>

<h3><u>Statement</u><u>:</u></h3>

<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>

<h3><u>Solution:</u></h3>
  • Let one of the digit of the original number be x.
  • So, the other digit = (13-x)
  • Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
  • The number obtained after interchanging the digits is 10x+(13-x) =9x+13
  • Therefore, by the problem

130-9x-(9x+13) = 45

or, 130-9x- 9x-13 = 45

or, -18x = 45-130+13

or, -18x= -72

or, x = 72/18 = 4

or, x = 4

  • So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>

The number is 94.

I think the answer you have given isn't right. The answer should be 94.

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Circle B has a radius of 7.2in. Find the diameter of circle B dilated by a factor of 8.1
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Since the scale factor is greater than 1, this dilation will be an enlargement. Therefore, you multiply 7.2 times 8.1 to get 58.32. This question asks for diameter, so multiply 58.32 times 2 to get 116.64 in.
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40% is what number is 82?
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Answer:

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Step-by-step explanation:

In the given figure,

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f(x)=9

substituting x=3 in f(x),

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