Use square roots to solve the equation x2 = –64 over the complex numbers. Select any solutions that apply.
A. 8i
B. –8
C. –8i2
D. –8i

Answers

Answer 1

Answer:

Options A and D are correct

Step-by-step explanation:

Here, we want to find the square root of the negative number;

x^2 = -64

x^2 = 64 * -1

x= √64 * √-1

Mathematically we can write the √-1 as i

X = √64 * i

Square root of 64 is plus or minus 8

so x = -8i or 8i

Answer 2

The solutions of an equation are the true values of the equation.

The expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

The equation is given as:

[tex]\mathbf{x^2 = -64}[/tex]

Take square roots of both sides

[tex]\mathbf{x = \pm\sqrt{-64}}[/tex]

Expand

[tex]\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}[/tex]

[tex]\mathbf{x = \pm(8 \times \sqrt{-1})}[/tex]

In complex numbers,

[tex]\mathbf{ \sqrt{-1} = i}[/tex]

So, we have:

[tex]\mathbf{x = \pm(8 \times i)}[/tex]

[tex]\mathbf{x = \pm8i}[/tex]

Split

[tex]\mathbf{x = 8i\ or -8i}[/tex]

So, the expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

Read more about expressions at:

https://brainly.com/question/23767452


Related Questions

in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%

Answers

i think b but idek know
C definitely c can’t see why not

19. Find the perimeter of a triangle if the side lengths are 3 1/2 ft, 5 2/3 ft,
and 4 1/6 ft.

Answers

Answer: 13 1/3

Step 1: Find the LCD

Step 2: Add the fractions

Step 3: Simplify

-1 2/7 + 4 i really need to answer this.

Answers

Answer:

5 29/100

Step-by-step explanation:

google helps

Answer:

n = 5/4

Step-by-step explanation:

which is the graph of the exponential function y=8(5)^x?

Answers

Answer:

y=8(5)^(x)

Step-by-step explanation:

i suck at math and i really need help asap!

Answers

Answer:

2

Step-by-step explanation:

2^{4-3}

=2

Identify the range of the function shown in the graph.

Answers

Answer:

There is no graph shown

Step-by-step explanation:

Answer:

no graph shown.

Step-by-step explanation:

None.

please help i don’t know how to find the slope

Answers

Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

You replace the m and b with the info given to you in the problem.

Answer: y = -3/4x -6

“X000” means what? Please explain

Answers

Answer:

If your talking about texting ,then this means hugs and kisses

Step-by-step explanation:

write a word problem that could be solved using the expression 2x+60​

Answers

Answer:

Step-by-step explanation:

james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.

if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.

solve for x

y=2x+60

95=2x+60

Write the equation of a line that passes through (0, -6) and (11, 1).

Answers

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Who know this for my other math these plz

Answers

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

Please Help due in 3 min

Answers

Answer:

D y=-4x+1

Step-by-step explanation:

Answer:

C) -4x+1

Step-by-step explanation:

Jason solves a math problem on the board using the Power of Products Property. Is his answer correct? Explain.

63 • 73 = 423
A.


Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B.


Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C.


No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D.


No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.

Answers

Answer:A

Step-by-step explanation:

the answer to ur question is A

1.) Solve for c:
4c + 5 > -c-5

Answers

Answer:

Step-by-step explanation:

The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?

Answers

Answer:

145

Step-by-step explanation:

f(x) = -7x + 1, find f(0).

Answers

Answer:

Step-by-step explanation:

f(0)= -7(0)+1= 0 + 1 = 1

a. 3.04 + 0.98
Help pleaseee for my little sister

Answers

Answer:

4.02

Step-by-step explanation:

     1

3 . 0 4

0 . 9 8

4 . 0 2

In 2005, the UT Longhorns scored 15 times to win the Big 12 Championship Game 70-3. All of their points came from touchdowns (6 points each) and extra point kicks (1 point each). How many touchdowns and extra points did the Longhorns have in that game? (For the purposes of this problem, touchdowns and extra point kicks count as separate "scores".

Answers

Answer:

The number of touch downs = 11

The number of extra points = 4

Step-by-step explanation:

The number of times UT Longhorns scored = 15 times

The composition of the scores = Touch down and point kicks

The points with which UT Longhorns won the game = 70-3

The points that came from each touch down = 6 points

The points that came from each point kick = 1 points

We have;

The number of touch downs + Point kicks = 15

The number of touch downs = 15 - Point kicks

Let the number of point kicks = P

Therefore;

The number of touch downs = 15 - Point kicks = 15 - P

The number of touch downs = 15 - P

Given that the total points of UT Longhorns = 70, we have;

6 × (15 - P) + 1 × P = 70

90 - 6·P + P = 70

5·P = 90 - 70 = 20

P = 4

∴ The number of point kicks = P = 4

The number of point kicks, extra points = 4

The number of touch downs = 15 - P = 15 - 4 = 11

The number of touch downs = 11

Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?

Answers

Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

Week 9: 730 ≠ 280

Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

Week 15: 490 = 490

Given the equation 5x – 2y = 22 and a solution (3a, 4). Find a.

Answers

Answer:

a = 2

Step-by-step explanation:

5(3a) - 2(4) = 22

15a - 8 = 22

15a = 30

a = 2

Find the distance between the points.
(0,6) and (0,2)

Answers

Answer:

4

Step-by-step explanation:

Because the formula of distance I'd root under x2 - x1 and y2-y1 and the answer Is 4 units

I need 15. please its my last question and fast​

Answers

Answer: X(to the power of 0) over 3(to the power of 2)



Explanation: It is equal to 1/9

Is - 7/8 or - 1/15 larger

Answers

Answer:

-1/15 because it is closer to zero on the negative half of a number line.

Answer:-1/15

Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number

Factorise x^2-10
I need help

Answers

Answer:

This expression is not factorable with rational numbers.

Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?

Answers

Answer: 2:100

Step-by-step explanation:

Figure 1 was
with a scale factor of
with the center at the origin
It was then
6 units
and 5 units
to produce
Figure 2.
Figures 1 and 2 are
because Figure 1 was

Answers

Huh? what do you mean

Answer the questions using the drop-down menus.
At what type of boundary do strike-strip basins form?
At what type of boundary do wedge basins form?
At what type of boundary do rift basins form?
At what type of boundary do arc basins form?

Answers

Answer:  

At what type of boundary do strike-strip basins form? transform

At what type of boundary do wedge basins form? convergent

At what type of boundary do rift basins form? divergent

At what type of boundary do arc basins form? convergent

Step-by-step explanation:

Hope this helps!

Answer:

Answer the questions using the drop-down menus.

✔ transform

At what type of boundary do wedge basins form?

✔ convergent

At what type of boundary do rift basins form?

✔ divergent

At what type of boundary do arc basins form?

✔ convergent

Step-by-step explanation:

Which statement best models the equation 10+(−10)=0 ?

Answers

What are the statements? So I can help you out

18,000 divided by 60

Answers

Answer:

Step-by-step explanation:

300

300

Simple

18,000/60 = 300

In parallelogram ABCD, what is the measure of z°?
115
60
65
180

Answers

Answer:

115

Step-by-step explanation:

angle A + angle D= 180 degrees

65+z=180

subtract 65 from both sides

z=115

Answer:

115

Step-by-step explanation:

Other Questions
if you answer this your really cool B) PLZ HELP NEED ANSWER ASAP!!!!!!! The sum of two numbers is 32 their difference is 10. Find the numbers. Story: Sally Ride: First American Woman in SpaceWhat is the correct way to rewrite sentence 9? Answer choices for the above question A. NASA announced that the organization was looking for scientists to join the ranks of astronauts while working on her PhD. B. While working on her PhD, Ride learned about NASAs announcement that the organization was looking for scientists to join the ranks of astronauts. C. While working on her PhD, Ride announced that NASA was looking for scientists to join the ranks of astronauts. D. The sentence is correct as it is written in the paper. Which statement best completes the diagram based on the Zhou dynasty's understanding of the Mandate of Heaven? Cause Effect A new leader receives the Mandate of Heaven. ? O A. China is invaded by powerful enemies. B. China experiences peace and prosperity. C. China is divided into warring states. O D. China becomes isolated from the rest of the world. URGENT!!! I WILL GIVE BRAINLIEST! Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.x y1 32 ?He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?A. 5B.7C.8D.12 Which statement best describes the economy of ancient Egypt?O Mining organizations controlled the economy with gold coins.O The economy relied mostly on growing crops for food and goods.O Merchants and business leaders were focused on building pyramids.O Most people worked as hunters along the banks of the Nile River. _k-1_ how do i solve this plz help =10 2 What is 50% of 180 miles? 2.) You need a carpet installed in your living room. You reach out to 2 different companiesfor installation pricing. Lowes charges $ 2 a square foot and $60 to bring thematerials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.If your living room is 100 square feet, which company would you use? please help me fill in da blanks to answer dis annoyin question Plantation families got together for the following events except:A. visitsB. exporting tobaccoC. churchD. sports events Three colorless solutions in test tubes, with no labels, are in a test tube rack on the laboratory bench. Lying beside the tests tubes are three labels : 0.10 M Na2CO3, 0.10 M HCL, and 0.10 M KOH. You are to place the labels on the test tubes using only the three solutions present. Here are your tests: A few drops of the solutions from test tube 1 added to a similar volume of the solution in test tube 2 produces no visible reaction but the solution becomes warm. A few drops of the solution from test tube 1 added to a similar volume of the solution in test tube 3 produces carbon dioxide gas. Identify the labels for test tubes 1, 2, and 3 please help me 30 points A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 4.2%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 12 % 33 % Bond fund (B) 5 % 26 % The correlation between the fund returns is .0308. Suppose now that your portfolio must yield an expected return of 11% and be efficient, that is, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Do n Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet. The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level. Which algebraic expression represents the perimeter of the rectangle?2x + 24x + 3 Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn! The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence. Equivalent ExpressionsWarm-UpActiveEvaluating an ExpressionComplete the statements.Evaluate (15 - 4x) + 5 when x = 3.Substitute the given value for theEvaluate withinparentheses.to simplify.Use theinside theEvaluate exponents.First, complete theparentheses.Next, complete theparentheses.Last, complete the addition.inside theMultiply and dividefrom left to right.The value isAdd and subtractfrom left to right.