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Aleksandr-060686 [28]
4 years ago
12

Show work plz for I can understand

Mathematics
1 answer:
Lilit [14]4 years ago
6 0

Answer:

c = - 2

Step-by-step explanation:

Since (z - 3) is a factor of p(z) then z = 3 is a root and p(3) = 0

p(3) = 3³ + 9c - 4(3) + 3 = 0, hence

27 + 9c - 12 + 3 = 0 ⇒ 9c = - 18 ⇒ c = - 2



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Solution :

1st -

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  • 90 \times 4
  • 360

2nd -

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  • 24 \times ( - 3) \times ( - 5)
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3rd -

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  • - 12 \times ( - 2) \times ( - 7)
  • 24 \times ( - 7)
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4th -

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Conclusion - only third choice has negative equivalent value

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9514 1404 393

Answer:

  • x = 30
  • y = 105
  • z = 75

Step-by-step explanation:

You know the linear pair z° and 105° are supplementary angles, so ...

  z = 180 -105 = 75

The other base angle of the isosceles triangle has the same measure, 75°. __

Then x can be found either from the sum of interior angles of the triangle, or from the relation of 105° to the "remote interior angles". The first relation gives ...

75° +75° +x° = 180°   ⇒   x = 180 -150 = 30

The second relation gives ...

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Of course, you could also figure y from the symmetry of the figure.

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