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bekas [8.4K]
3 years ago
7

Point CC is located at (4,3)(4,3) on the coordinate plane. Point CC is reflected over the xx-axis to create point C'C ′ . Point

C'C ′ is then reflected over the yy-axis to create point C''C ′′ . What ordered pair describes the location of C''?C ′′ ?
Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

C" = (-4,-3)

Step-by-step explanation:

Given

C = (4,3)

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

C(x,y) \to C'(x,-y)

So, we have:

C(4,3) \to C'(4,-3)

Next, C' is reflected over y-axis to give C''

The rule to this is:

C'(x,y) \to C"(-x,y)

So, we have:

C'(4,-3) \to C"(-4,-3)

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Answer:

  • y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
  • y = (x - 4)(x^2 + 4)(x^2 - 3)                    Possible answer

Step-by-step explanation:

The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i

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but this can be reduced even further.

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By a similar method (x - √3)(x + √3) = x^2 - 3

So the polynomial is reduced to

(x - 4)(x^2 + 4)(x^2 - 3)  <<<< Answer

If this is not among your answers and the  factored form is not either, please tell me what is.

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