1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
4 years ago
12

Equality of complex numbers:

Mathematics
2 answers:
lions [1.4K]4 years ago
4 0
You need to make 2 equations   one for the real part of the complex number and another from the imaginary part . So for Q 9:-

2x =  4  so x =  2

and x + y = -5
so 2 + y = -5
y = -7 
so the answer is x = 2 and y = -7 

10.  
(x - iy) + (y + xi) = 1 - 5i
x + y + xi - yi = 1 - 5i
x + y = 1
x - y = -5
adding:-
2x = -4
so x = -2

-2 - y = -5
y = 5-2 = 3

So x = -2 and y = 3




Nastasia [14]4 years ago
3 0

Answer:

By comparison, 2x = 4 and x + y = -5.

2x = 4 implies that x = 4/2 = 2

x + y = -5 implies that y = -5 - x = -5 - 2 = -7.

Step-by-step explanation:


You might be interested in
In a​ year, almost a billion people on the planet​ didn't have access to clean drinking water. If there were 4.7*10^9 people in
iren2701 [21]

Answer:

the answer is 10/47 or about 21.2%

7 0
3 years ago
A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they
Masteriza [31]

Answer:

1. 0.9648

2. 0.602

3. 0.0352

4. 0.398

Step-by-step explanation:

We solve using binomial probability

n = 15

P = 20% = 0.2

1. At least 1 is tight

= P(X>=1)

P(X>=1) = 1-p(X= 0)

= P(x=0)

= 15C0(0.20)⁰(1-0.20)^15-0

= 15C0(0.20)⁰(80)¹⁵

= 0.0352

P(x>=1) = 1-0.0352

= 0.9648

2.

More than 2 ties tight

P(X>2)

P(X>2) = 1-p(X<=2)

p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= p(x=0) = 0.0352

p(x=1) = 15C1(0.20)¹(0.80)¹⁴

= 0.1314

p(x=2) = 15C2(0.20)²(0.80)¹³

= 0.2309

P(x>2) = 1-(0.0352+0.1314+0.2309)

= 0.602

3.

No ties is tight

P(X = 0)

= 15C0(0.20)⁰(0.80)¹⁵

= 0.0352

4.

At least 3 are not tight

This says that at most we have 3 to be too tight

= p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= 0.0352+0.1319+0.2309

= 0.398

7 0
3 years ago
Maricel is programming an archery component of a new video game. In her code, she has created an "auto aim" feature that helps p
zheka24 [161]

Answer:

12 degrees

Step-by-step explanation:

b^2=a^2+t^2-2atCosB\\15^2=50^2+60^2-2(50)(60)Cos B\\Cos B=\frac{15^2-(50^2+60^2)}{-2(50)(60)} \\Cos B=0.9792\\B=arc Cos 0.9792\\B=11.7^0

Maricel's code will adjust the shot by 12 degrees to the nearest degree.

6 0
3 years ago
A grocery store was having a sale. Darla had $15 in her wallet. She planned to purchase 2 gallons of fruit juice, 3 bags of chip
Ray Of Light [21]

Answer: Darla would have to pay $17.69 before tax

Step-by-step explanation:

Total amount in Darla's wallet = $15

She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.

For the gallon of fruit

The first gallon of fruit cost $3.50

The second gallon of fruit has a discount of 50%. We have

(50/100) * 3.50

= $1.75

Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75

= $5.25

Bag of chips

2 bags of chips cost $5 while 1 bag of chips cost $2.65

Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65

1 box of cupcakes = $4.79

The total amount Darla is to pay for the groceries before tax equals

$5.25 + $7.65 + $4.79

= $17.69

This is more than the amount Darla has in her wallet

7 0
3 years ago
PLEASE HELP DUE TODAY!!!!!!!!
Tom [10]

Answer:

The volume of the square base

Step-by-step explanation:

so if you take

588/9 = 65in

6 0
3 years ago
Read 2 more answers
Other questions:
  • The formula for the area A of a rectangle with length l and width w is A = l ⋅ w . Find A if: l = 23 feet and w = 15 feet The ar
    13·1 answer
  • Find the GCF 15, 18, 30
    14·1 answer
  • Which is the graph of 5(x+2)-3y=-5
    8·2 answers
  • 2. A chemist wants to make 4 liters of a 7% acid solution by mixing a 10% acid solution and a 4% acid solution. How many liters
    11·1 answer
  • An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the heig
    13·1 answer
  • MARK AS BRAINLIEST!!
    5·2 answers
  • Solve for x.<br><br> x/3 ≤ −6<br><br><br><br> x≤−18<br> x≤−2<br> x≥−18<br> x≥−2
    9·2 answers
  •     Escribe en forma de potencia y encuentra el valor
    8·1 answer
  • The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle
    7·1 answer
  • If data for a time series analysis are collected on an annual basis only, which pattern can be ignored? a. horizontal b. seasona
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!