A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.

Answers

Answer 1

Answer:

The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Step-by-step explanation:

Given

Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]

Required

Determine two additional roots

For a polynomial with two rational roots, the additional roots are the conjugates of the roots.

Take for instance, the following expression:

[tex]a + \sqrt b[/tex]

The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].

Having established how to determine the additional roots, we proceed to determine the roots.

The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]

Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]


Related Questions

help please
− 1 − 9 + ( −15) + (− 8) + 3 =​

Answers

Step-by-step explanation:

− 1 − 9 + ( −15) + (− 8) + 3 [B.O.D.M.A.S rule]

= − 1 − 9 −15 − 8 + 3

= 3 - 1 - 9 - 15 - 8 (First and last subtraction)

= 3 - 33

= -30(Ans)

Answer:

-30

Step-by-step explanation:

Well we don't necessarily have to follow pemdas right now, because there is only addition and subtraction, and they are on the same level and they don't matter which order they are used in.

So, with that being said, let's go step by step. I could've done an easier way, but for the sake of this question, I will do it a way that is a bit longer.

So, -1-9= -10.

For the next number, if there is a + and then a () and there is a negative number in the parenthesis, forget about the + and just subtract 15.

-10-15= -25

Same for the next number. -25-8= -33

-33+3= -30

The easier method is just combining the negative numbers and adding/subtracting them and then combining the positive numbers and adding/subtracting them, and then combining both results to get your answer.

Anyways, hope this helped you! If so, please leave a rating and a thanks, and let me know if I was correct! (hopefully brainliest, but up to you) Have a great day!!

Please help me... with at least 3 or 4.

Answers


3.right angle
4. Right angle
1- isosceles
2- obtuse
3- right
4- right
5- equilateral
6- obtuse (?)
7- obtuse
8- equilateral
9- right
10- right
11- obtuse
12- isosceles

fill in the missing number 21-(-17)=21+...

Answers

Answer:

the answer of 21-(-17)=21+17=38

In 14 days, Lin's sister will be paid $$ and will deposit it into her checking account. If there are no other transactions besides this deposit and the daily fee, will Lin continue to be charged $$ each day after this deposit is made? Explain or show your reasoning.

Answers

Answer:

Lin won't be charged $5.95 per day because her account balance is quite above zero(0), except her account balance falls down to zero, then she would be charged for subsequent deposits made into the account daily.

When Sam and his friends get together, Sam makes a fizzy orange drink by mixing orange juice with soda. On Friday, Sam makes 7 liters of fizzy orange by mixing 3 liters of orange juice with 4 liters of soda. On Saturday, Sam makes 9 liters of fizzy orange by mixing 4 liters of orange juice with 5 liters of soda. Does the fizzy orange on Saturday taste the same as Friday’s fizzy orange, or different? If you think it tastes the same, explain how you can tell. If you think it tastes different, does it taste more or less orangey? Explain how you know.

Answers

Answer:

no because the ratio 3:4 is not equivalent to 4:5

Step-by-step explanation:

A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches.

Answers

The area of the two shapes combined is 65 inches.

explanation:

A rectangle's formula is length x width which makes the equation 10 x 5 and the solution 50.

A triangle's formula is area = base x height ÷ 2 which makes the equation 10 x 3 ÷ 2 and the solution 15.

50 + 15 = 65

Please help I need it ASAP x

Answers

Answer:

1-13

2-225

Step-by-step explanation:

Anyone can help with this answer please

Answers

The volume of figure B is 15

Write the equation of the line.

Answers

Answer:

y=2x+4

Step-by-step explanation:

First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)

Slope=4-0/0-(-2)

=4/2

=2

Y-intercept is 4.

Slope-Intercept form: y=mx+b

m is slope & b is y-intercept

y=2x+4

HOPE I helped!

Will mark u BRAINLIEST! Please help this is due ASAP

Answers

Answer + Explanation:

let x be the measure of angle x

let y be the measure of angle y

[tex]\left \{ {{x + y = 180} \atop {x=24+y}} \right.[/tex]

Now, solve:

plug x = 24 + y into x + y = 180

24 + y + y = 180

24 + 2y = 180

2y = 156

y = 78

Now, plug this back into the equation x = 24 + 78

x = 102

Answer:

x= 102

y= 78

Step-by-step explanation:

x+y=180

x= y + 24

2x-24 = 180

25% OFF!
During the sale, Cooper pays $3 for a bag of almonds. What was the original price?

Answers

Answer:

$4

Step-by-step explanation:

x-.25x=3.      (since it’s 25% off)

.75x=3

x=3/.75

x=4

Circle what is the y-intercept in the graph and equation.
y=3x-4

Answers

Answer: y-intercept is 1

Step-by-step explanation: it's one because it is on the y-axis.  

Answer:

the y-intercept is -4

Step-by-step explanation:

brainliest please ??

Please please answer please

Answers

its should be c.

Because its approximately that many ppl

Answer:

Its C

Step-by-step explanation:

A bird starts at 20 m and changes 16 m?

Answers

Answer:

Step-by-step explanation:

I don't understand your question so please change the question so I can answer you.

Arnav was 1.5 m tall. In the last couple of years, his height has increased by 20% percent.
How tall is Arnav today?

Answers

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

domain and range of 7-9 / 2-7 and what does the slope of the equation mean

Answers

Answer:

Domain: 7,2

Range: 9,7

Slope is 2/5

Step-by-step explanation:

Domain is basically the x coordinates, which are 7 and 2 in this case. Range is the y coordinates: 9 and 7.

The slope is basically the line that connects these two dots.

Slope formula is (y2-y1)/(x2-x1)

But the points of the grid would be listed as (x1,y1) (x2,y2)

I don't know if I'm explaining this well enough, but if you follow that formula you get (7-9)/(2-7).

That equals to 2/5.

I hope this helped

Emily is a diver. Today she descended to a
depth of 40 feet below sea level. Then she
swam up 10 feet and descended another 4
feet. How far below sea level is Emily now?

Answers

She was at 40 feet below, she swam up getting so she was then at 40-10 = 30 feet below sea level.

She the swan 4 feet down so she ended up at 30 + 4 = 34 feet below sea level.

The answer is 34 feet below sea level (-34)

plssssssssss helpppppppppppppp

Answers

Answer:

its A

Step-by-step explanation:

can i have brainliest

it is a because why not? huh how you doing

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in​

Answers

Answer:

5[tex]\pi[/tex]+40

Step-by-step explanation:

perimeter of circle=2[tex]\pi[/tex]r

so 5 is r(radius)

so 10[tex]\pi[/tex], but since it’s semicircle, you have to divide by 2, so

5[tex]\pi[/tex]

perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40

so 5[tex]\pi[/tex]+40

Please answer this, due today!!! - First correct answer becomes brainliest


Suppose you know x+2y=-1 and 3y-x=-19. What is xy?

Answers

Answer:

x+2y=-1

-×+3y=-19

5y=-20

y=-20/5

y=-4

x=0

Please include an explantation!
Please don't answer just for points someone did that with my last post.

A marketing firm wants to estimate the true proportion of people in a city who use a certain brand of mobile phone. They want to produce a 90% confidence interval with a margin of error of at most 0.07. Which of the following is the smallest sample size that will produce the desired interval?


35

94

139

196

339

Answers

Answer:

139

Step-by-step explanation:

Cause it is

The smallest sample size that will produce the desired interval is 139.

Option C is the correct answer.

What is margin of error?

The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.

We have,

The formula for calculating the margin of error for a confidence interval is:

Margin of error =  z x (√(p x (1-p))/√(n))

where:

z =  the z-score corresponding to the desired confidence level

p =  the estimated proportion of the population that exhibits the behavior of interest (in this case, using a certain brand of a mobile phone)

n =  sample size

We want the margin of error to be at most 0.07, which means we need to solve for the smallest possible value of n that satisfies this condition.

We also want a 90% confidence interval, which corresponds to a z-score of 1.645.

Therefore,

we have:

0.07 = 1.645 x (√(p*(1-p))/√(n))

Squaring both sides and solving for n, we get:

n = ((1.645)² x p x (1-p)) / (0.07)²

We don't know the value of p, so we need to use the worst-case scenario, which is when p = 0.5 (which gives the largest possible value of n for any given margin of error).

Plugging this into the formula, we get:

n = ((1.645)² x  0.5 x (1-0.5)) / (0.07)²

n = 138.55

Since n must be a whole number, the smallest sample size that will produce the desired interval is 139.

Therefore,

The smallest sample size that will produce the desired interval is 139.

Learn more about margin of error here:

https://brainly.com/question/10501147

#SPJ2

Show two lines so the vertical angles formed are supplementary

Answers

Answer:

here i got you

Step-by-step explanation:

In one particular case, when vertical angles are right angles (that is, lines that form this pair of vertical angles are perpendicular), their sum is equal to a straight angles and, therefore, they are supplemental. See the picture below that represents

please help!! rlly need help

Answers

Answer:

Yes by SAS

Step-by-step explanation:

if you do 42 / 18 you see that the relationship between the sides is 2.3333... so that is one proportional side

Then, you see that there is one angle in both triangles that is 76 degrees, so that is one equal angle

then, you can do 21 / 9 = 2.33333... which is the same as the first proportion which means that is another proportional side.

then you have a side, angle, and a side, so it's SAS

Help me Please!!!!! ​

Answers

Answer:

The function has an even degree

The function has a negative leading coefficient

^^^^ Hope this helps! :)

You receive an $18 commission on a
$18 commission on a $300 TV that you
sold. What percent commission did you earn what’s the answer for this and how

Answers

Answer:

6% commission on the sale

Identify the place value of digit 9 in each given number.
1.109 235 2.2 904 178 3.34 698.25

Tysm!<33​

Answers

Step-by-step explanation:

1) Thousands

2) 100 thousands

3) tens

What statement describes the graph of x=4?

Answers

Answer:

it is parallel to the y axis

Answer:

D

Step-by-step explanation:

Since x equals 4, it would be parallel to the x-axis

Evaluate the expression 2x^2-y^1+3x^0 for x =3 and y=5

Answers

I think it’s 14 I’m not sure

Expression of the collection of variables and constant. The value of the given expression 2x² - y¹ + 3x⁰ for x = 3 and y = 5 will be 16.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

Expression is very useful to determine the end or root value of constraint.

As per the given expression,

2x² - y¹ + 3x⁰

Substitute, x = 3 and y = 5

2(3)² - 5 + 3(1) = 18 - 5 + 3 = 16.

Hence "The value of the given expression 2x² - y¹ + 3x⁰ for x = 3 and y = 5 will be 16".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ3

please help me on this will give you brainliest!!

Answers

Answer:

0.926

Step-by-step explanation:

Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!

please help me with this math

Answers

Answer:

C. Aka  z = -3.

Step-by-step explanation:

Subtract 7 from both sides.

We have:

-3z-4z=21

So:

-7z=21

21/-7 = -3

The answer is C.

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