Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0

Answers

Answer 1

The two roots are

[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]

Hence the answer is D.


Related Questions

Need help plz ! I'll give 30 points.​

Answers

Answer:

45 90 135 180 dkdhwjuwuhd

plz help very easy i pormise

Answers

Answer:

8/90

Step-by-step explanation:

hope this helps

Answer:

It's 38/45

Step-by-step explanation:

I don't really have a step-by-step explanation. I just looked it up! ;) good luck

3/4 x 2 5/8 ÷ 2 + 10/12

Answers

Here you go mark me Brainly eat

A side of the triangle below has been extended to form an exterior angle of 165º. Find
the value of x.

Answers

Answer:

x = 120°

Step-by-step explanation:

the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees

we know two of the three angle measures so we add all three together to find the unknown angle

x + 15 + 45 = 180

x + 60 = 180

x = 120°

What is rhe relationship between a centimeter and a meter?

Answers

Answer:

A meter is 100x bigger than a centimeter.

Step-by-step explanation:

1 meter = 100 centimeters

Answer:

1metre=100 centimeter

Step-by-step explanation:

that is the relationship between centimeter and metre


Gerald had scores of 83, 95, 92, and 98 on four exams in his algebra class. What score will he need on his fifth exam to have an overall average of 937 (All exams have a
maximum of 100 points.)

Answers

You will need 569 points (IM NOT SMART

A recent study showed that players of a certain video game tend to perform better if they take breaks. The study involved analyzing data from 242{,}000242,000242, comma, 000 matches played by 16{,}66516,66516, comma, 665 players of League of Legends, a popular online game. The data showed that players who took regular breaks, on average, performed better than those who did not. What conclusion can they draw from this study

Answers

Answer:

There was an association between taking breaks and better performance, but it's not necessarily a causal relationship.

Step-by-step explanation:

Find a polynomial F of X of degree four that has the following zeros. 7, -3, 0, 4 leave your answer in Factored form

Answers

Answer:

f(x) = (x - 7)(x + 3)(x)(x - 4)

Step-by-step explanation:

It's just like the roots of a quadratic but with more factors

f(x) = (x - 7)(x + 3)(x)(x - 4)

How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732

Solve the equation: q –10 = -10

Answers

Answer:

q=0

Step-by-step explanation:

Answer: q = 0

-----------------------------

q - 10 = - 10

q = 0

<3


Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3

Answers

Answer:

maybe 13

Step-by-step explanation:

HELPPP PLEASE!!!!!!
HELP!!!!!!!

Answers

Answer:

4 pounds

Step-by-step explanation:

when you match it on the graph it corresponds to 4

steps

match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4

-2 (x+5) = 4
use the distributive property to solve the equation

Answers

Ok
-2x-10=4
Add 10 on both sides
X = -7
-2=14
Divide by -2

Q4). If the ordered pairs (x+1,5) and (4,x+2y) are equal then find x and y. ​

Answers

Step-by-step explanation:

Given that (x+1,5) = (4,x+2y)

⇛ x+1 = 4 and 5 = x+2y

⇛ x = 4-1

⇛ x = 3

now

5 = x+2y

⇛ 5 = 3+2y

⇛ 5-3 = 2y

⇛ 2 = 2y

⇛ 2y = 2

⇛ y = 2/2

⇛ y = 1

Therefore, x = 2 and y = 1

need help on the question

Answers

whats the question??

Answer:

what's the question?

Step-by-step explanation:

I'd love to help but i don't see a question...

Evaluate 4x squared - 8x + 8 when x = -6

Answers

Answer:

44

Step-by-step explanation:

√4×-6+8×6+8=2×-6+48+8

-12+48+8

=48

Hey there!

4x^2 - 8x + 8

= 4(-6)^2 - 8(-6) + 8

= 4(6)(6) - 8(-6) + 8

= 4(36) - (-48) + 8

= 144 - (-48) + 8

= 144 + 48 + 8

= 192 + 8

= 200

Therefore, your answer is: 200

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find the sum of 5x + 6 and -11x - 9

Answers

-6x - 3
Step-by-step-explanation:

what is 20% of 30? how would you calculate it? please answer asap

Answers

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

please view the img above for the question ^^​

Answers

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual value is $2,000. Company uses straight-line method for depreciation. From 2019, Samsung Ltd measure the machine A by the revaluation model. At 30 June 2019, machine A was revalued to $ 1,400,000. After one year, at 30 June 2020, machine A was revalued to $1,000,000. At 30 June 2021, machine A was revalued to $1,500,000. Required: Prepare the journal entries from 01 July 2016 to 30 June 2021. (using both method for revaluation)

Answers

a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:

July 1, 2016 Debit Equipment $1,502,000

Credit Cash $1,502,000

To record the purchase of the machine A.

June 30, 2017 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

To record the depreciation expense for the first year.

June 30, 2018 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

To record the depreciation expense for the second year.

June 30, 2019 Debit Accumulated Depreciation $300,000

Credit Revaluation Reserve $300,000

To close the accumulated depreciation to Revaluation Reserve.

June 30, 2019 Debit Revaluation Reserve $198,000

Credit Revaluation Surplus $198,000

To record the Revaluation Surplus.

June 30, 2020 Debit Revaluation Expense $400,000

Credit Revaluation Reserve $400,000

To record the revaluation loss.

June 30, 2021 Debit Revaluation Reserve $500,000

Credit Revaluation Surplus $500,000

To record the revaluation surplus.

Data and Calculations:

Cost of machine on July 1, 2016 = $1,502,000

Estimated Residual Value = $2,000

Depreciable amount = $1,500,000

Estimated useful life = 10 years

Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).

Value of Machine at:

June 30, 2019 - $1,400,000

June 30, 2020 = $1,000,000

June 30, 2021 = $1,500,000

Learn more: https://brainly.com/question/19908089

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Last Friday, Erica earned $51 babysitting for 6 hours. At this rate, how many hours would Erica need to babysit in order to earn $272?​

Answers

Answer: 32 hours

Step-by-step explanation: 51/6 = 8.5

So, Erica makes 8.5 dollars per hour. 272/8.5 = 32. Thus, Erica will need 32 hours.

Brainliest?

Which of the following is a solution to the system of two equations y = 3x – 1 and y = 2x + 3?
please

Answers

point form: (4,11)
equation form: x=4 y=11

Please help! Cant figure this one out!

Answers

Answer:

20.5

Step-by-step explanation:

Given that shapes are similar:

45 = 2x + 4 subtract 4 from both sides

41 = 2x divide both sides by 2

20.5 = x

what is the slope of the line?

Answers

The slope is 8/5 or 1.6

geomtry plzzzz help me

Answers

Step-by-step explanation:

it is an isoceles triangle (equally long legs).

there is a right angle at W, so YW is the height of the isoceles triangle XYZ.

that means W splits XZ in half.

therefore,

ZW = XZ/2 = 38/2 = 19

For all horizontal lines the domain is

Answers

Answer: All real numbers

Step-by-step explanation:

It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.

If here are approximately 15000 red cabs in Hong Kong. This represents approximately 80% of the total taxis. Find the total number of taxis in Hong Kong.

Answers

Answer: 18,750

Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.

The world population of a certain species is evaluated at 6.8 × 109. By some projections, this population will be 8 times more important in 30 years. Express the population at that time in scientific notation.

Answers

Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Current population = [tex] 6.8 \times 10^{9}[/tex]

Therefore, 8 times the current population can be calculated thus :

[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]

Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Learn more : https://brainly.com/question/25411212

Rewrite 2/11 and 1/7 so that they have a common denominator

Answers

Answer:its 22 and 7...........................

Step-by-step explanation:

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