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valentina_108 [34]
3 years ago
9

Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0
X^3 - i(x)^2 - 4x + 4i ....
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nikdorinn [45]
Create a ratio and cross multiply

20x - 75 = 14x + 63
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Which figure has 90 rotational symmetry?
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The correct answer is A)

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
2 years ago
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Feliz [49]

Answer:

15 mph

Step-by-step explanation

i used a calculator but correct me if im wrong pls

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2 years ago
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The answer would be C (P=T/2). This can be explained by examining the ratio. If you were to put in the answer of T = 12, then you would be looking for T/2 or 6, assuming we're giving them each half of the amount original held by grandmother.
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3 years ago
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