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

The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.

Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?

Answers

The distance between points (a) and (b) is the number of units between the points.

Formula for halfway two

Assume the lesser point is point (a)

To locate the halfway between points (a) and (b)

Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).

The above steps is represented as:

[tex]P = a + \frac{|a - b|}{2}[/tex]

Using the above formula, the halfway point between 5 and 11 would be 8

The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points

Real world circumstance

The formula can be used to calculate the halfway distance between two points on a track

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574

120 to 140 what is the percent of change?

Answers

Answer:16.667%

Step-by-step explanation:

140 - 120 = 20

20 / 120 = 16.667%

PLEAAAAASSEEEEEEEEEEE
im held captive._.

Answers

The inequality that models the situation is:

[tex]15000 + 4s \geq 450000[/tex]

Solving it, it is found that they need to sell at least 108,750 shirts.

During the day:

They earned 15000 in mask sales.They will sell s shirts, and earn a total of of 4s.

Hence, the earnings are:

[tex]T = 15000 + 4s[/tex]

They want to earn at least 450,000, hence:

[tex]T \geq 450000[/tex]

[tex]15000 + 4s \geq 450000[/tex]

Solving it:

[tex]15000 + 4s \geq 450000[/tex]

[tex]4s \geq 435000[/tex]

[tex]s \geq \frac{435000}{4}[/tex]

[tex]s \geq 108750[/tex]

They need to sell at least 108,750 shirts.

A similar problem is given at https://brainly.com/question/24514895

The next term in the geometric sequence -1, -2, -4 __ is -6.


True or False

Answers

Answer:

False

Step-by-step explanation:

It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)

What is the solution to the equation? −12x=−3
Enter your answer in the box.

Answers

Answer:

The answer is 1/4 or 0.25

Step-by-step explanation:

The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3

So we can just divide -3 by -12 to find the answer.

-3 / -12 = 0.25

So the answer is 0.25 or 1/4 in fraction form.

Hope this helps! :)

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Answer:

x = 1/4

Step-by-step explanation:

−12x = − 3

Step 1: Divide both sides by -12.

-12x/-12 = -3/-12

Answer:

x = 1/4

mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5

Answers

Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?

Answers

Answer:

109.50

Step-by-step explanation:

cost of membership + individual visit price

49.50+ 12*5          (cost of membership plus amount of visits * ticket price)

109.50

Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS

Answers

None because the triangles have different lines

If the x axis is positive and the y is zero what’s quadrant or axis is it in?

Answers

Quadrant 1

Hope this helps!
Brainliest is much appreciated!

4/9 7/21 change to percent

Answers

Answer:

Hi there, your answers here are 44% and 33%.

To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.

To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.

Please help! Brainliest!

The graph f(x) = (x + 1)^2 – 7 is translated 3 units right and one unit up, resulting
in the graph g(x). Write an equation that represents the new function, g(x).

Answers

Answer: g(x) = (x-2)^2 - 6

Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.

(x+1) is x=-1 and (x-2) = 2.

Hope this helps.

Lesson 3: Revisiting Proportional Relationships

Answers

relationship is going to work out so 72728

What is the value of this expression? 4/15+3/5−2/3 Quick

Answers

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

PLS ANSWER
AND I WILL MARK AS BRAINLIST

Answers

Answer:

72

Step-by-step explanation:

Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..

Brainliest would be appreaciated! :-)

In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180

Answers

Answer:

option C can be used.

Step-by-step explanation:

hope this helps you.

a cafe sells a regular cup of coffee for $1 and a large sup for $1.50. melissa and her friend buy 5 cups of coffee and spend a total of $6. find the number of large cups.

Answers

Answer:

65

Step-by-step explanation:

it is the largest cup so it is 65

find the slope of the line that contains each pair of points -9,-5 and 6,-5​

Answers

The slope will be -5-(-5) divided by 6-(-9) which will give you 0 (zero)

Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5

Answers

Answer:

25h+12

Step-by-step explanation:

Combine Like Terms:

21h+−10h+16+−9+14h+5

(21h+−10h+14h)+(16+−9+5)

25h+12

Same thing, no difference.

Hope this helped! :)

is associative prperty holds good under subtraction over integer​

Answers

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......

Answer:

No, the associative property does not hold good for the subtraction of integers.

\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3

Answers

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list

Write a word problem that can be represented by the expression 4 3/8 divided by 8

Answers

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

If it is given that log2 a= 5 , write the value of a as a power of 2​

Answers

In other words, write it in exponential form.

To write a as a power of 2, your log form should be written this way: log_2 (5) = a.

We can then then write it in exponential form showing a as a power of 2.

Here it is:

2^(a) = 5

One triangle weighs how much

Answers

Answer:

13

Step-by-step explanation:

Write the word sentence as a Equation.

The difference between a number p and 6 is -14

Answers

Step-by-step explanation:

how do we find the difference between 2 numbers ? by subtracting one from the other.

p - 6 = -14

p = -8

The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet on the football field? Explain your answer.

Answers

hi um i know this answer is 79

1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=

Answers

Answer:

3971.570

Step-by-step explanation:

The answer is 3,971.570

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2

Answers

Answer:

A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

Convert the given equation into slope-intercept form:

3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

y = -2x +

FINAL ANSWER :

Slope = -2

Y - intercept = +

Answer :

Option (a) is the correct answer .