what is the positive value of a in the complex number a + 7i

Answers

Answer 1

The imaginary unit number is used to express the complex numbers, where i is defined as imaginary or unit imaginary. We will explain here imaginary numbers rules and chart, which are used in Mathematical calculations.


Related Questions

Solve the inequality for x. - 1 - 6x - 6 > - 11 - 7x

Answers

Answer:

The answer is

[tex]x > - 4[/tex]

Step-by-step explanation:

[tex]- 1 - 6x - 6 > - 11 - 7x[/tex]

Simplify the inequality

That's

[tex] - 6x - 7 > - 11 - 7x[/tex]

Add 7 to both sides of the inequality

[tex] - 6x + 7 - 7 > - 11 + 7 - 7x \\ - 6x > - 4 - 7x[/tex]

Add 7x to both sides of the inequality

[tex] - 6x + 7x > - 4 + 7x - 7x \\ x > - 4[/tex]

We have the final answer as

[tex]x > - 4 [/tex]

Hope this helps you

The solution to the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex]  is [tex]x > -4.[/tex]

To solve the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex], we can start by simplifying both sides of the inequality:

[tex]-1 - 6x - 6 > -11 - 7x[/tex]

Combine like terms:

[tex]-7 - 6x > -11 - 7x[/tex]

Add 7x to both sides:

[tex]-7 - 6x + 7x > -11 - 7x + 7x[/tex]

[tex]-7 + x > -11[/tex]

To isolate "x," we can subtract -7 from both sides:

[tex]-7 + x - (-7) > -11 - (-7)[/tex]

Simplifying further:

[tex]x > -11 + 7[/tex]

[tex]x > -4[/tex]

Therefore, the solution to the inequality is [tex]x > -4.[/tex]

To learn more on Inequality click:

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HELP. ONLY ANSWER QUESTION 5. THANKS

Answers

Answer:

A. K= m+n

B. L=[tex]\sqrt{p*q}[/tex]

Step-by-step explanation:

Solve: 12r-6s=t for r

Answers

R= 6s+t/12


You add 6s and divide 12

Evaluate the expression: |5-6|

Answers

Answer:

1

Step-by-step explanation:

|5 - 6|

|-1| (absolute value changes a negative number to positive)

1

Best of Luck!

Answer:

|5-6| = 1

Step-by-step explanation:

Answer inside the absolute value and you get -1. The aboslute value of -1 is 1.

o babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money? 10 + 0.3(4h) = 0.25(6h) 0.3(10) + 4h = 0.25(6h) 0.3(10 + 4h) = 0.25(6h) 0.3(14h) = 0.25(6h)

Answers

Answer:0.3(10+4h)=0.25(6h)

Step-by-step explanation:

Answer:

C. 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

edge

Determine the SLOPE of the following equation: y = 3/2x + 4*​

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

In y=mx+b,

m is the slope...

Here,3/2 is the slope

Answer:

the awnser is 3/2

the y intercept is -4

The quadratic equation is y=ax2 + bx + c.
What would be a formula for b?

Answers

Answer:

b=y/x−ax−c/x

Step-by-step explanation:

Solve the system of equations using substitution.
3x + y = 12
y = 3x

Answers

Answer:

y=3x⇒equation 1

substitute equation 1 in 3x+y=12

3x+3x=12

6x=12

x=12/6

x=2

hope it helps u!

I need the area of this shape please explain.

Answers

Answer:

130 square inches

Step-by-step explanation:

Area of the shape = Area of trapezoid - area of rectangle

[tex] = \frac{1}{2} \{23 + (4 + 3 + 4) \} \times 8 - 3 \times 2 \\ \\ = \{23 + 11 \} \times 4 - 6\\ \\ = 34 \times 4 - 6 \\ \\ = 136 - 6 \\ \\ = 130 \: {inches}^{2} [/tex]

15tb when b=7 7




Farheen Rashid needs this now plz help me

Answers

15 times 77 there’s your answer buddy

x - 2 > 4
What is the answer and explain
Pls I'll Give BRAINLIEST

Answers

Answer:

[tex]\boxed {x > 6}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]x - 2 > 4[/tex]

-Add [tex]2[/tex] on both sides:

[tex]x - 2 + 2 > 4 + 2[/tex]

[tex]x > 6[/tex]

So, therefore, the answer is [tex]\boxed {x > 6}[/tex].

I just need to know the answer to B.

Answers

Answer:

24%

Step-by-step explanation:

45 + 37 + 52 + 94 + 72 = 300

72/300 = 0.24 x 100

= 24%

Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?

Cost for 2 hours:
Cost for t hours:

Answers

Answer:

1. 16$

2. 10+3(t)=$

Step-by-step explanation:

1. 10+3+3=16

A triangle has three sides(4x),(2x-6),and(10-x). Using the variable x, write an expression to define the perimeter

Answers

Answer:

5x+4

Step-by-step explanation:

well the perimeter is the sum of all sides

so we have

[tex]P=4x+2x-6+10-x\\\\P=(4x+2x-x)+(-6+10)\\\\P=5x+4[/tex]

Answer:

P = 5x+4

Step-by-step explanation:

To find the perimeter, sum the sides

A triangle has 3 sides

P = 4x+ 2x-6 + 10-x

Combine like terms

P = 4x+2x-x    -6+10

P = 5x +5

Find each of the following and explain your reasoning: 1) The length of segment BE ​

Answers

Answer:

BE = 2.5

Step-by-step explanation:

find the midpoint of AD

[tex](\frac{0+4}{2},\frac{2+7}{2})\\(2,4.5)\\BE=2.5[/tex]

5x+10y=30
solve for y

Answers

Answer:

y= 3 -0.5x

Step-by-step explanation:

5x + 10y = 30

subtract 5x from each side to get 10y by itself

10y= 30-5x

divide each side by 10

y= 3 - 0.5x

Blueberries cost $4.00 per pound.
How many pounds of blueberries can you buy for $13.00?

Answers

Answer:

3 pounds

Step-by-step explanation:

13/4=3.25

Answer:

3.25 i think hehe

Step-by-step explanation:

what is 0.24 in word from?

Answers

Step-by-step explanation:

two tenth + four hundredth

Twenty-four hundredths

During the winter, the amount of water that flows down a river remains at a low constant. In the spring, when the snow melts, the amount of water increases drastically, until it decreases to a steady rate in the summer. The flow then slowly decreases through the fall into the winter. Consider the graphs shown. Which graph best represents the given situation?​

Answers

Answer:

Graph B

Step-by-step explanation:

I did the quiz and got it right

Question 2 of 5
Which inequality is true?
A. 9/3 pi > 1
B. 9 pi > 27
C. Pi +7<10
D. Pi - 3> 1

Answers

It’s d hope you get it right


Round the following number to the nearest
ten thousands place
56,252

Answers

The answer is 60,000.

Answer:

60,000

Step-by-step explanation:

Look at the thousands place (the place to the direct right of the ten thousands place)If the number in the thousands place is 4 or under, we round down. If it is 5 or over, we round up.The number is 6 which is above 5, so we round up.The ten thousands place becomes a 6, and all of the other places become a 0.It should now look like this: 60,000

I hope this helps!

SOMEONE PLS HELP I NEED TO DO THISSSS

Answers

16......................

$12 for 15 milliliters $8 for 10 milliliters

Answers

Answer:

whats the question?

Step-by-step explanation:

The sum of three consecutive integers is 105. Find the smallest integer.​

Answers

Answer:

34.

Step-by-step explanation:

The three integers would be 34,35,36 because the sum of the three numbers is 105.

can someone please help me I've been stuck on this for so long​

Answers

Answer:

x = -3, y=2

Step-by-step explanation:

x+3y =3

3y -2x =12

Solve the first equation for x

x = 3-3y

Substitute this into the second equation

3y -2(3-3y) =12

Distribute

3y -6 +6y =12

Combine like terms

9y -6 =12

Add 6 to each side

9y-6+6 =12+6

9y =18

Divide each side by 9

9y/9 =18/9

y = 2

Now find x

x = 3 -3y

x = 3-3(2)

x = 3-6

x = -3

Answer:

x = -3  y = 2

Step-by-step explanation:

x + 3y = 3

2x - 3y = -12

3x = -9

x = -3

Lamont has purchased 20 trading cards and wants to have at least 50 trading cards. Write and solve an inequality to nd the number of trading cards Lamont needs. Select all of the true statements.

Answers

Given:

Lamont has purchased 20 trading cards.

He wants to have at least 50 trading cards.

To find:

The inequality for the number of trading cards Lamont needs and solve it.

Solution:

Let x be the number of trading cards Lamont needs.

He has 20 trading cards. So,

Total cards = x + 20

It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.

[tex]x+20\geq 50[/tex]

Subtract 20 from both sides.

[tex]x+20-20\geq 50-20[/tex]

[tex]x\geq 30[/tex]

Therefore, the required inequality is [tex]x+20\geq 50[/tex] and solution is [tex]x\geq 30[/tex].

The number of trading cards that Lamont needs will be at least 30 trading cards.

From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.

Therefore, the number that will be needed more will be:

= 50 - 20 = 30

Therefore, he'll need at least 30 more cards.

Read related link on:

https://brainly.com/question/14058435

Given h(x) = -x2+3x, find h(5).

Answers

Answer:

-10, 40, or 5

Step-by-step explanation:

There are three ways of looking at this problem.

1.

h(x) = -x^(2) + 3x

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -(5)^(2) + 3(5)

      simplify

      = - (25) + (15)

      = -10

2.

h(x) = (-x)^(2) + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = (-5)^(2) + 3(5)

       simplify

       =25 + 15

      = 40

3.

h(x) = -2x + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -2(5) + 3(5)

   

     simplify

     = -10 + 15

     = 5

I buy 6 CD,s casting £ 6.99 each how much change do I get from £ 50


plz answer

Answers

Answer:

£8.06

6.99x6=41.94

50-41.94=8.06

Distribute 3x (3x - 3)​

Answers

answer: 9x^2 - 9x
the ^2 means squared btw.
you would get this answer by multiplying 3x by each of the terms inside the parentheses.
so 3x • 3x = 9x^2 and 3x • -3 = -9x

25 Points!
Which of the following relations describes a function?
{ (2, -2), (0, 0), (2, 2), (3, 3) }

B.
{ (-3, 9), (-2, 4), (2, 4), (3, 9) }

C.
{ (-2, 0), (0, 2), (2, 0), (0, -2) }

D.
{ (9, -3), (4, -2), (4, 2), (9, 3) }

Answers

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/28/20 Time:  11:59 CST

Answer:

B: { (-3, 9), (-2, 4), (2, 4), (3, 9) }

Explanation:

This shows a function because, for each x value, there is not another x value of the same number

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris  

I’m going to say B because a c and d all repeat x which makes them not a function
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