express the radical using the imaginary unit i

Express The Radical Using The Imaginary Unit I

Answers

Answer 1

Answer:

[tex]i[/tex][tex]\sqrt{30}[/tex]

Step-by-step explanation:

[tex]\sqrt{-30}[/tex]

= [tex]\sqrt{30 * -1}[/tex]      

= [tex]\sqrt{30} * \sqrt{-1}[/tex]   Separate the two numbers into 2 radicals.

= [tex]i\sqrt{30}[/tex]             Simplify, knowing that [tex]i = \sqrt{-1}[/tex].


Related Questions

Ok here’s another question

Answers

Answer:

20 necklaces

Step-by-step explanation:

If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.

Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).

Answers

The required solution of the equation is (2,5). The correct option is A. (2,5).

Given equations,

[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]

How to solve a system of equations?

putting the value of y from eq. 1 in eq. 2 we get,

[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]

putting the value of x=2 in eq. 1 we get,

[tex]y=2+3\\y=5[/tex]

Hence, the required solution of the equation is (2,5).

For more details on solving the equation follow the link:

https://brainly.com/question/11897796

Evaluate the expression when b= -4 and c=6. -4c+ b​

Answers

Answer:

-4 x 6 + -4

-24 + -4

-28.. is your answer mark me brainlist bro plz

Answer:

-28

Step-by-step explanation:

-4(6)+(-4)

-24+(-4)

-28

Divide 6.72 by 0.041 and round to the nearest hundredth

Answers

Answer: 163.90

Step-by-step explanation:

163.9 is the answer

The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)

Answers

[tex]\huge\boxed{Hello! :)}[/tex]

We plot the point (-5,0) on the coordinate plane.

Then, we reflect it over the y-axis.

Remember the rule:

If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)

Let's use this rule now.

We reflect (-5,0) over the y-axis.

(-5,0)

The new point is: (5,0)

[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]

(Option D)

[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]

Help! 100 points to correct!

Answers

Answer:

B is correct

Step-by-step explanation:

adding the amount taken away and then subtracting it is the same as subtracting twice

Answer:

either b or c

Step-by-step explanation:

How many meters are in 28% of 15 km?
Explanation Please with proportions.
I will reward the brainiest

Answers

Answer:

4200

Step-by-step explanation:

Answer: 4,200 meters

Step-by-step explanation:

[tex]\frac{28}{100} * 15 = 4.2 km = 4200 m[/tex]

May I please receive help?

Answers

Answer:

a=√2, c=4√3

Step-by-step explanation:

Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.

Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3

Solve the equation for x. 1 2 x − 6 = 8 A) x = −7 B) x = −7 C) x = 14 D) x = 28

Answers

Answer:

X = 7

Explanation

2x-6=8

2x=6+8

2x=14

2x/2 = 14/2

x = 7

Find the value of

-12
20
36
-10

Answers

Answer:

20 is the answer.

Step-by-step explanation:

(-4)² + (-2)²=> 16 + 4=> 20

Conclusion:

Therefore, 20 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

(-4)²+(-2)²16+420

Option B

Lary works in a automobile company. They just shipped out 5 brand new cars. The total cost of these cars was $1,067,800. If they all cost the same amount,what was the price of each car ?
She your work.

Answers

You will have to divide 1,067,000 by 5.
1,067,000/5= 213,400 $ per each car

Can someone please help me with the graph above ?? please ​

Answers

Answer:

See image

Step-by-step explanation:

The third line of the directions that says

(x,y)->(x-5, y)

is telling you to look at each point and keep the y the same, but subtract 5 from the x. For example, point B which is given as the point (4,-1) will slide over 5 places to the left and keep the y the same to (-1,-1) see image

The whole shape will slide over to the left 5 places. (red)

Then, it says reflect over y=0. Which is a flip like a mirror image.(green) The final answer is the green figure.

Which of the following is a required deduction?
A. Health insurance
B. Disability insurance
C. FICA
D. State sales tax

Answers

To withhold a percentage of an employee's wages or salary and contribute an equal amount to these programs.FICA s a required deduction. Thus, option C is correct.

What is the FICA?

FICA (Federal Insurance Contributions Act) is a required deduction that includes Social Security and Medicare taxes for employees in the United States.

Health insurance and disability insurance may be offered by employers but are not required by law to be deducted from an employee's paycheck.

The current FICA tax rate is 7.65%, which includes a 6.2% Social Security tax and a 1.45% Medicare tax.

State sales tax is not a deduction from an employee's paycheck. It is a tax paid by consumers on purchases they make.

Therefore, FICA s a required deduction.

Learn more about FICA here:

https://brainly.com/question/14208089

#SPJ1

10+4.5m=21.25
Solve for M

Answers

Answer:

m = 2.5

Step-by-step explanation:

10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5

Conclusion:

Therefore, m = 2.5

Hoped this helped.

[tex]GeniusUser[/tex]

Pls help will give brainly

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x

Answers

Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

Jada types 120 words per minute how many words does jada type in 1.5 minutes

Answers

Answer:

180

Step-by-step explanation:

Diagram is not drawn to scale. Could someone try and help me find x, I got 20 but it was wrong ​

Answers

Answer:21

Step-by-step explanation:

if not 20 then 19 , 20.5 or 21

Help please (MATH)......................

Answers

Answer:

ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah

I’m not sure but I think it’s 4 square feet

8. The distance from Earth to the Sun is approximately 9 x 10^7 miles. The distance from Earth to the Moon is approximately 2x10^5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?
A. 450
B. 222
C. 45
D. 18​

Answers

Answer:

A

Step-by-step explanation:

To find how many times the distance, we divide the distance to the sun by the distance to the moon.

we get:

(9 * 10^7) / (2 * 10^5)

First, lets isolate and simplify the powers of 10.

(9 /2) * (10^7/10^5)

(9/2) * (10^2)=(9/2) * 100

Solve

9/2*100=4.5*100=450

x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?

Answers

Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!

Answer:

x is a function

since it forms a horizontal line it passes the vertical line test and is a function

Write the equation of the line graphed below in the form y = mx + b​

Answers

Answer:

y= -1/4x + 2

Step-by-step explanation:

so basicly find the slope first which is "m"

to do that do rise/run or do y2-y1/x2-x1

rise over un in this case is -1/4

slope is negative so its -1/4 = m

that find y intercept which is "b"

in this case its 2

then put it in formula

y=mx+b

y= -1/4x + 2

Please answer this ASAP
Solve for x.
2x−4=6−3x

A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4

Answers

Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

[tex]2x-4=6-3x[/tex]

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

[tex]2x + 3x = -3x + 3x + 10[/tex]

And then I'll add like terms:

[tex]5x=10[/tex]

Now, all we have to do is divide both sides by 5:

[tex]5x/5=10/5\\x=2[/tex]

And there's our answer. Hopefully that's helpful! :)

Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

how much does 1/3 package weigh

Answers

Answer:

1/3 package of what

Step-by-step explanation:

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=1/2x+8

Step-by-step explanation:

grab 2 points in this case (4,10) and (0,8)

use rise over run formula so it rises 2 and goes over 4

so 2/4 then simplify and you get 1/2

and the y intercept is 8 because thats when the slope touches the y line

so using the equation y=mx+b when m is slope and b is y interecpt

the answer should be y=1/2x+8

Answer:

y=2x+8

Step-by-step explanation:

8=b m=y_ý/x_x`=2

y=ax+b

y=2x+8

If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4

Answers

Answer:

B= 3/5

Step-by-step explanation:

If is wrong I'm sorry

The answer isssssssssssssaa B3/5

Can someone help me please​

Answers

Answer:

D

Step-by-step explanation:

3’2x (8-5)
6’2+(4x3)
42-(14-12)

Answers

Answer:

1. 27

2. 48

3. 40

Step-by-step explanation:

3 to the power of 2 is 9 (3×3)

9×3=27. (8-5=3)

6 to the power of 2 is 36 (6×6)

36+12=48. (4×3=12)

42-2=40

The statement below is a different way to say that the sides of these similar parallelograms are proportional.

Complete the equations that go with the statement.

Answers

b/c = s/r

_________

o0o0o0o0o0

c/d = r/q

________

o0o0o0o0

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