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Talja [164]
3 years ago
9

Find a polynomial of degree 2 with real number coefficients and zero 3-2i

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0
Complex roots occur as conjugates so the other root is 3 + 2i

so we have  the factored form 

(x - (3 - 2i)(x - (3 + 2i)

= (x - 3 + 2i)(x - 3 - 2i)

= x^2 -3x - 2ix - 3x + 9 + 6i + 2ix - 6i- 4i^2

=  x^2 -6x + 9 + 4

= x^2 - 6x + 13   Answer
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The difference of 10 and the product of n and 2 is 4 which operation models this​
vagabundo [1.1K]

Answer:

10 - 2n - 4

Step-by-step explanation:

The product of n and 2 is 2n.

Then 10 - 2n is the difference of 10 and the product of n and 2.

In conclusion, we have:  

10 - 2n - 4

3 0
3 years ago
Find each angle or arc measure
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arc WY = 118

To find angle WXY
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7 0
3 years ago
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Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,
Hatshy [7]

Answer: T'(18,36)

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of \frac{9}{5}, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

T(10,20)

You get that the coordinates of the Image T' are the shown below:

T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)

6 0
4 years ago
The width of a rectangle is 20 inches. What must the length be if the perimeter is at least 180 inches?
Sidana [21]
20x2 = 40 in width
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70 inches
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