what is (2i)^2? and is it a real or imaginary number?

Answers

Answer 1

Answer:

4i

Step-by-step explanation:

Distribute the 2, you get 4i.

It's imaginary because it has an i with it

Answer 2

Answer:

-4, real

Step-by-step explanation:

Hi there!

‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1

If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.

I hope this can help!


Related Questions

Which number is greater than 555,621,000? A. 5.0 x 10 B. 6.2 x 10 C. 5.55621 x 10 D. 9.99 x 10

Answers

Answer:

None of these

Step-by-step explanation:

None of these are correct because you would need to multiply 5 x 10 to a certain power. 5.55621 x 10 to the 8th power would do it.

Answer: I believe D is correct

Step-by-step explanation:

how to graph equations using x and y intercepts

Answers

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

Jane wrote all natural numbers from 5 to 12. including 5 and 12.

how many numbers did Jane write?

Answers

8 numbers including 5 & 12 :)

ok sooo um another post again hahahaha
but anyways, to the question.

Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.

20.2 miles > 17.6 miles​

Answers

Answer:

Enter a value for a so that the system of equations shown has infinitely many solutions.

y = −5x + 9y =    ax + 9

Step-by-step explanation:

activist judges believe that federal judges should

Answers

Answer:

beyond the words of a constitution or statute to consider the broader societal implications of their decisions.

Step-by-step explanation:

A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?

Answers

Answer:

check online for more information

Answer:

Check online for more informations.

Simplify to find the answer

Answers

[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]

Find 3 other points for this equation for both x and y ( bots don’t answer pls )

Answers

Answers:

Row one:  x = -10 and y = -4Row two:  x = 0 and y = 6Row three: x = 2 and y = 8

There are infinitely many other possible answers.

===================================================

Explanation:

The [tex]\frac{3}{3}[/tex] simplifies to 1. Dividing any nonzero number over itself always leads to 1.

So the equation [tex]y = \frac{3}{3}x+6[/tex] simplifies to [tex]y = x+6[/tex]

To determine y, we add 6 to x.

Pick 3 random values you want for x.

Let's say we picked x = 0

y = x+6

y = 0+6

y = 6

So x = 0 leads to y = 6

-----------

If you tried something like x = 2, then,

y = x+6

y = 2+6

y = 8

So (2,8) is another point on the line

-----------

Lastly, let's try a negative number. Let's go for x = -10

y = x+6

y = -10+6

y = -4

The input x = -10 gives the output y = -4

There isn't any restriction on x, so you can use any number you want. Therefore, there are infinitely many possible answers.

What starts with a p has a t in the middle and has an R at the end that has 12 letters that is for ur body


Note: its not any subject for school and its not anything for school so ignore the mathematics subject thing.

Answers

Answer:

Pronator??

Step-by-step explanation:

How many twelfths make one whole






How many twelfths make one whole

Answers

Answer:

12

Step-by-step explanation:

1/12x1/x

1x=12x1

x=12

Answer:

12 twelfths make a whole.

Step-by-step explanation:

when the numerator and the denominator of a fraction are the same, they always equal one. 12/12 would simply to one, just like 3/3 or 200/200.

I hope this helps

help me with this math problem pleasee. I will give brainliest to the correct answer

Answers

Answer:

answer is x=15

AM=18

AB=4

1=2

2=10

3=20

if you have 6 apples and you give 2 apples to Ciara how many apples do you have? (hint you don't have friends)

Answers

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Answer:

4

Step-by-step explanation:

Ciara is not my friend but she's my sister

describe this graph of a Ferris wheel

Answers

Answer:

A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.

Step-by-step explanation:

but what graph

The Ferris wheel makes 4 rotations.

The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom

WILL GIVE BRAINLIEST

Answers

Answer:

  A) 1: linear; 2: exponential (see equations in part B)

  B) the value of 2 will be almost 15% greater

Step-by-step explanation:

Part A:

As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.

The table values for Option 1 have a common difference of (1200 -1100) = 100.

The table values for Option 2 have a common ratio of (1210/1100) = 1.10.

Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.

Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.

__

Part B:

The investment values after 7 years will be ...

  Option 1: f(7) = 100(7) +1000 = 1700

  Option 2: g(7) = 1000(1.1^7) ≈ 1948.72

The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)

For what value of x is line a parallel to line b?

Answers

Answer:

x = 22

Step-by-step explanation:

4x + 28 = 116 (corresponding angles are equal when two lines are parallel)

4x = 88

x = 22

Corresponding angles must be equal

[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]

[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]

[tex]\\ \tt\hookrightarrow 4x=88[/tex]

[tex]\\ \tt\hookrightarrow x=22[/tex]

Add the following: (i) 2a+b+c, a - b -c, 3a + b​

Answers

Add like terms the answer will be 6a+b+c

HELP PLEASE! FOR 50 POINTS

Answers

So if it is 1 1/2 you go to 1 then halfway towards 2
Plot points on the
3rd
5th
6th
8th
13th
And
16th line

help please anybody hmm​

Answers

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!

Answers

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

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

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

Can you help me please ?

Answers

Answer:

A

Step-by-step explanation:

rise⇵ over run ⇄

the rise is -6 the run is 3

If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.

Answers

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ? ​

Answers

Answer:

95% of Grade 6 pupils graduated

Answer:

95% of Grade 6 Pupils Graduated

Step-by-step explanation:

Express the Statement Mathematically:

646/680

Add Percentage

646/680 * 100%

By Division

0.95 * 100%

Then, Multiply

95%

how many integers between 100 and 999 (inclusive) have distinct digits

Answers

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

The digit in the hundreds place is 4 less then 5.

Answers

Yes?? i dont understand the question that much

Step-by-step explanation:

How can you find approximations of square roots?​

Answers

Answer:

you can do a trial and improvement

Step-by-step explanation:

A. -78
B. 49
C. 53
D. 14

Answers

Answer: 49

Step-by-step explanation:

Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC

Answers

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

How i can answer this question

Answers

Answer:

A

Step-by-step explanation:

They both equal 2(x+y+1)

Does order matter when performing a composition of two transformations of the same type? Explain.

Answers

The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.

David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .

Answers

Answer:

Step-by-step explanation:

Garage A = 7+3t

Garage B = 4+4t

Garage A = 7+6

Garage B = 4+8

B = Cheaper

Answer:

A = 3t + 7, B = 4t + 4, B is cheaper

Step-by-step explanation:

A = 3(2) + 7 = 6 + 7 = 13

B = 4(2) + 4 = 8 + 4 = 12

Other Questions
which word in this sentence is a correlative conjuction why did the framers decide to include article v of the constitution, detailing an amendment process? LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation) Hope everyone has a happy holiday for whatever you celebrate :) Is this table proportional?XY4 8 5 106 1210 20 Based on what you've written, tell which are NOT correct forms of beber. You will select two answers. Is the product of -5 and v121 rational or irrational Which of these statements would a conservative like Herbert Hoover most likely have made at the onset of the Depression?O A. The federal government should provide jobs to the unemployed.OB. The federal government should provide homes for the homeless.O C. The federal government should tax the wealthy to help the needy.o D. The federal government should let the economy fix itself without interfering. Tell me if it's argumentative or informative for each question help please.with the stepson image. How was the asian americans treated by other Americans during World War I? in a sale there is a 40% discount.what is the discount on a dress that costs $150.00 If the measure of base angle ABC is 75 , what is m PT. 4 OF MY HW! STILL UNIT RATE A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this? Read the excerpt from the Declaration of Independence by Thomas Jefferson.We, therefore, the Representatives of the United States of America, in General Congress, Assembled, appealing to the Supreme Judge of the world for the rectitude of our intentions, do, in the Name, and by the Authority of the good People of these Colonies, solemnly publish and declare, That these United Colonies are, and of Right ought to be Free and Independent States . .How does Jefferson use ethos as a rhetorical appeal?by establishing the source of the representatives authorityby describing the elected leaders levels of educationby explaining the upcoming election of representativesby offering a prayer for the future of the colonies A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?A) 32B) 29C) 16 D) 24E) 28 Amino acids have one thing that makes them different from each other. What is it. How many fifths are there in the fraction 21/5? which layer of soil is closest to the surface