Use square roots to solve the equation x ^ 2 = - 25 over the complex numbers. Select any solutions that apply A.-5 B. -5i C. -5i^2 D.5i

Answers

Answer 1

Answer:

B. [tex]-5i[/tex]

D. [tex]5i[/tex]

Step-by-step explanation:

Remember that the imaginary unit is equal to:

[tex]i^2 = -1[/tex]

And getting the square root in both sides of the equation we get:

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

The with our expression we develop of the next way:

[tex]x^2 = -25\\x = \sqrt{-25}[/tex]

However in the real numbers doesn't exist solution for such operation then you use the complex numbers for represent the operation.

[tex]x = 5i \quad \land \quad x = -5i[/tex]

In this occasion we use [tex]i[/tex] and [tex]-i[/tex] because both represent a negative square root, so our final answer is:

B and D


Related Questions

which values of x are solutions to the equation below?

Answers

Answer:

-5,5

Step-by-step explanation:

move the constant to the right to make it

3x^2=33+42

3x^2=75

divide both sides by 3

x^2=25

sq root of 25 is 5 and -5

help me please I'm stuck on this question​

Answers

Answer:

1 : 3.5

Step-by-step explanation:

8 : 28 = 1 : n

n = 28 * 1 : 8

n = 3.5

1 : 3.5

Work out the area of the shaded shape.

Answers

Answer:

61

Step-by-step explanation:

You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.

My mom walks 1 mile in 14
minutes. If she walked for 56
minutes, how far did she walk?

Answers

Answer:

4 miles

Step-by-step explanation

If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.

14 + 14 + 14 + 14 = 56

14 x 4 = 56

Can someone pls help really quick


Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.

65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:

Median:

Mode:

Range:



The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:

Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?

Answers

Answer:

Step-by-step explanation:

Mean: 56.95

Median: 64

Mode: 65

Range: 93

15 plates = $1000 + 8(15) = $1120

75 plates = $1000 + 8(75) = $1600

150 plates = $1000 + 8(150) = $2200

Maya solved 1/4 of a crossword puzzle before dinner and a part of it after dinner. If Maya solved 3/4 of the crossword in all, what fraction of the puzzle did she solve after dinner?
Choose the equation that matches the word problem.

Answers

Answer:2/4

Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4

261,256,251,...
Find the 50th term.
Find the 50th term.

Answers

Answer:

16

Step-by-step explanation:

261 - 256 - 251

-5 by step

to 50th term there is 49 -5's from 261.

261 + 49.(-5) = 261 - 245 = 16

Answer:

16

Step-by-step explanation:

The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.

General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]

where An = nth term, a1 = first term , n = number of terms and d = common difference.

The first term is 261 so a1 = 261

The common difference appears to be -5

( 256 - 261 = -5 ) and ( 251 - 256 = -5 )

so d = -5

We want to find the 50th term so n = 50

We then plug all of this in to get the 50th terms

Formula : [tex]a_n=a_1+(n-1)d[/tex]

a1 = 261 , n = 50 and d = -5

[tex]a_n=261 + (50-1)-5[/tex]

subtract 1 from 50

[tex]a_n=261+(49)(-5)[/tex]

multiply 49 and -5

[tex]a_n=261-245[/tex]

subtract 245 from 261

[tex]a_n=16[/tex]

The 50th term is 16

22. PLEASE HELP PLEASSSSSSEEEEEEEE

Answers

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

How would 10% be written as a fraction?

Answers

1/10

10% is 10/100 which simplifies to 1/10

Answer:

1/10

Step-by-step explanation:

it would be 1/10. reduce the fraction by 10

use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please thank you guysssss

Answers

Answer:

L = 36 yd

Step-by-step explanation:

Given the area of a rectangle of 1044 yd², and a width of 29 yards:

Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):

A = L × W

where:

A = area of a rectangle = 1044 yd²

L = length of a rectangle

W = width of a rectangle = 29 yd

Solution:

Divide both sides by W to isolate L:

[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]

[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]

Substitute the values for the area and the width of a rectangle:

[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]

L = 36 yd

Therefore, the length of a rectangle is 36 yards.

Help help help help math math math

Answers

Answer:

55º

Step-by-step explanation:

The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.

The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?

Answers

Answer:

$270

Step-by-step explanation:

130%/100%=$351/X

(351*100)/130=$270

What is 2 plus 4 please help

Answers

Answer:

It is, 6

Step-by-step explanation:

Good luck! Have a good day!! <33

Act like you have 2 fingers up and then add 4 more.

The answer is 6 have a great day

Choose correct way to write 7 cents using the dollar symbol.


$.07




$ 7 ¢






$.07 ¢




$.7

Answers

$.07. You do not write $.7 because that would mean 70 cents and should be written with a 0 at the end anyways. You do not write any dollar amount with a cents sign at the end, because the dollar sign replaces it. You write $.07 because 7 cents means 7/100 (7 one hundredths) so the seven must be written in the hundredths spot. Remember, the hundredth spot is the second number after a decimal.

Step-by-step explanation:

$.07

$.7

The answer was first one.

13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)

Answers

Answer:

I believe the answer would be A. $200.00

Step-by-step explanation:

This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.

And the current price is 4,200$ for each car.

If you add 200$ to each 4,200$ car, you get 4,400$

After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.

You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.

52,800-42,000=10,800

therefore, A.$200.00 would be the correct answer

I'm not sure if all calculations are correct, but I hope this helps! :)

The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.

To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.

Given:

Number of cars (n) = 12

Price Jay paid for each car (P) = $3,500

Current worth of each car (W) = $4,200

Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000

Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400

Difference in value = C - T = $50,400 - $42,000 = $8,400

Additional increase needed = $10,800 - $8,400 = $2,400

To find the average increase needed per car, we divide the additional increase by the number of cars:

Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200

Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.

The correct answer is A. $200.00.

To know more about average value, refer here:

https://brainly.com/question/32515383

#SPJ2

I need help on this question

Answers

Answer:

Go download CameraMath on playstore

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

P.E = mgh = 120N

Step-by-step explanation:

v² = u² - 2as

At the top, the velocity is = 0

0² = 4² - 2 x 10 x s

4² = 20s

s = 16/20

s = 0.8metres.

It rose only 0.8metres.

Therefore P.E = 15 x 10 x 0.8

:. P.E = 15 * 8

:. P.E = 120N

.872 to scientific notation

Answers

Answer:

8.72×10²

Step-by-step explanation:

8.72×10²=872

How many time can 3/8 go into 12?

Answers

Answer:

32

Step-by-step explanation:

This is a division problem.

12 divided by 3/8.

12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32

Answer: 32

Distributive property to remove parentheses 4(3+w)

Answers

Answer:

12+4w

Step-by-step explanation:

Multiply 4 by both sides

Need help a lot stuck

Answers

Answer:

yes, sounds linear.

this is an mx + b scenario.

here's the model:

y = )3/1)x + 50

or

y = 3x + 50

where the 1 in the slope denominator is a square foot.

One pint of milk is about 560 ml. Rosa has 3.5 pints of milk. How many litres of milk does rosa have?

Help pls

Answers

3.5 pints of liquid is about 1.65612 liters

Find the area of the shape shown below.
2 2 2 2 6​

Answers

Answer:

12 units squared

Step-by-step explanation:

This requires a 3-step solution.

1. The triangle on the left:

   To get an area for a triangle, you do: base times height divided by 2.

   You get 4/2, which is 2 units squared for the first triangle.

2. The square:

   Pretty easy, it is 2 x 2 which is 4.

3. The last triangle:

   Same thing as the first triangle, 2 x 6 divided by 2.

   You get 12/2 which is 6.

To get the final area: You add them up.

2 + 4 + 6, which is 12.

Help help help help math math math

Answers

12x + 10 + 8x + 10 = 180

20x = 160

x = 8
Hope this helps!

please help ill mark brainliestO​

Answers

Answer:

AA, SAS, SSS

Step-by-step explanation:

These three theorems can be used to find similar triangles.

can you help me with this graph question ​

Answers

4,-5
explaination: sorry if not correct!

Answer:

D

Step-by-step explanation:

the Max Point is (2,6) so y=b

sorry if u dont get it

Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6

Answers

Answer:

C and E are the answers:)

Step-by-step explanation:

Hope this helps!

Answer- C,D, and E

If you plug in any number for those proplems you will get a different number a each side

Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:

Answers

Answer:

Step-by-step explanation:

Look at the graph below. What is the y-intercept?

Answers

Answer:

- 2 is the answer:)

Step-by-step explanation:

Wherever the line crosses on the y thats the answer

Help help help help help math math math

Answers

Check the picture below.

Answer:

x=33

Step-by-step explanation:

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