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Effectus [21]
2 years ago
15

The Table Shows a proportional relationship between x and y for each Value of x and y match it to the correct unit rate y/x in i

ts simplest form

Mathematics
1 answer:
Elden [556K]2 years ago
8 0

The correct proportions are given as follows:

  • x = 3, y = 27: 9/1.
  • x = 9, y = 81: 9/1.
  • x = 21, y = 126: 6/1.
  • x = 14, y = 84: 6/1.
  • x = 12, y = 36: 3/1.
  • x = 15, y = 45: 3/1.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions for this problem are given dividing y by x, hence:

  • x = 3, y = 27: 27/3 = 9, hence 9/1 has to be marked.
  • x = 9, y = 81: 81/9 = 9, hence 9/1 has to be marked.
  • x = 21, y = 126: 126/6 = 6, hence 6/1 has to be marked.
  • x = 14, y = 84: 84/14 = 6, hence 6/1 has to be marked.
  • x = 12, y = 36: 36/12 = 3, hence 3/1 has to be marked.
  • x = 15, y = 45: 45/15 = 3, hence 3/1 has to be marked.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Read 2 more answers
The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre
Monica [59]

Answer:

  (p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

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

  y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

  b(y -b) = -a(x -a)

  by -b² = -ax +a²

  ax +by = a² +b²

__

For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

  5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

  2(5x +4y) = 2(41)

  10x +8y = 82

Comparing to 10x +py = q, we see that ...

 p = 8

  q = 82

4 0
2 years ago
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