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Damm [24]
3 years ago
10

What is the basic principle in multiplication of complex numbers?

Mathematics
1 answer:
Naily [24]3 years ago
4 0
When dividing two complex numbers on rectangular form we multiply the numerator and denominator by the complex conjugate of the denominator, because this effectively turns the denominator into a real number and the numerator becomes a multiplication of two complex numbers, which we can simplify.
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Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number o
ohaa [14]

Answer:

Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion below the line for positive values of x and y

Step-by-step explanation:

Let

x------> the number of nickels in the box

y------> the number of dimes in the box

we know that

0.05x+0.10y < 20\$

Multiply by 100 both sides

5x+10y < 2000 ------> inequality that represent the situation

The solution of the inequality is the triangular shaded area below the dashed line

see the attached figure

therefore

The statement which best describes the steps to graph the solution to the inequality in x and y is

Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion below the line for positive values of x and y

7 0
3 years ago
Read 2 more answers
A circle has a radius of 18 and a center at (10,-9). Find the equation of the circle.
gulaghasi [49]

Answer:

(x-10)²+(y+9)²= 324.

Step-by-step explanation:

For this question, you will need to substitute these values into the equation of a circle:

(x-h)²+(y-k)²= r²

'h and k' represent the center points, and 'r' represents the radius.

This will result in:

(x-10)²+(y+9)²=324.

4 0
3 years ago
Please help me Thank u
SCORPION-xisa [38]

Answer:

Step-by-step explanation:

Fist let's have a look :

  • (AB) is parallel  with (CD) and there is a line crossing them both.

Now the first question : What is the size x ?

  • We notice that x and 53° are vertically opposite so they are corresponding angles
  • so the size of x is 53°

The second question : what is the size of y ?

  • We notice that y and 53° are alternate angles
  • so they are corresponding angles with same size
  • y=53°

The trick is to khow the situation where we have  corresponding angles

8 0
4 years ago
Given the function f(x)=x^2 and k=2, which of the following represents a horizontal shift?
Sergeeva-Olga [200]
F(x) = x²
k = 2

f(x) + k = x² + 2
    
    kf(x) = 2x²

f(x + k) = (x + 2)²
f(x + k) = (x + 2)(x + 2)
f(x + k) = x(x + 2) + 2(x + 2)
f(x + k) = x(x) + x(2) + 2(x) + 2(2)
f(x + k) = x² + 2x + 2x + 4
f(x + k) = x² + 4x + 4

f(kx) = (2x)²
f(kx) = 4x²

The answers are f(x) + k and f(x + k).
3 0
3 years ago
Solve for y<br> 1/8y-2/3=5.5
amm1812

Answer:

y = 49 1/3

Step-by-step explanation:

1/8y-2/3=5.5

1/8y = 5.5 + 2/3

multiply both sides by 8:

y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3

7 0
3 years ago
Read 2 more answers
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