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ICE Princess25 [194]
3 years ago
6

Knowing that 2i is one answer to the equation x^4 - 2x^3 + 6x^2 - 8x + m = 0, find the 'm' and the other possible answers.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
Ok so remember
if a+bi is a root, then a-bi is also a root

since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment

we find m=8


we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
x=1+i or 1-i







m=8 and the other roots are
x=-2i, 1+i, 1-i


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Jan 18 Spiral Review<br> Find the surface area of the following complex shapes.
zepelin [54]

Answer:

320 in.²

Step-by-step explanation:

Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.

The total area of the rectangle is 16 × 24, which is 384.

Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.

384 - 64 = 320

The total surface area of the following complex shape is 320 in.²

4 0
2 years ago
Steve's scores on 6 of his tests were 92, 78, 86, 92, 95, and 91. If he took a seventh test and raised the mean of his scores by
monitta

Answer:

96

Step-by-step explanation:

First we need to know the mean of the Steve's scores on 6 of his tests. Given the six scores as 92, 78, 86, 92, 95, and 91.

Mean = sum of the scores/Total test taken

Mean = 92+78+86+92+95+ 91/6

Mean = 534/6

Mean = 89

If he took the seventh test and the mean score is raised by 1 them the new mean will be expressed as;

New mean = 92+78+86+92+95+ 91+x/7 = 89+1

Where x is the new score. Note that of a new score is added, the total year taken will also change to 7

To get x;

92+78+86+92+95+ 91+x/7 = 89+1

92+78+86+92+95+ 91+x/7 = 90

534+x/7 = 90

Cross multiply

533+x = 90×7

533+x = 630

x = 630-534

x = 96

Hence the score of the seventh test is 96

8 0
3 years ago
What is an equation of the line that passes through the points (0, 3) and (5, -3)?
bixtya [17]

Answer:

y = -6/5x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3/ 5 - 0

= -6/5

To find the y-intercept, you need to plug the coordinates into the equation,

y = -6/5x + b

3 = -6/5(0) + b

3 = 0 + b

b = 3

The equation is y = -6/5x + 3

6 0
2 years ago
Write the equation....
BaLLatris [955]
1-0/-1-0 = -1
Y- 0 = -(x-0)
Y=-x
Y - 1 = -(x+1)
Y-1= -x-1
Y = -x
5 0
3 years ago
Estimate the quotient: 1628 ÷ 8 answer choices<br><br> 168<br> 162<br> 160<br> 260<br> 106
slega [8]

Answer:

203.5 so you can pick 168 because it's closer to the answer

Step-by-step explanation:

5 0
2 years ago
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