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
Delvig [45]
3 years ago
7

If x = a + bi and y = c + di, x × y = y × x.

Mathematics
1 answer:
Cloud [144]3 years ago
8 0
X = a + bi
y = c + di

                                      xy = yx
                   (a + bi)(c + di) = (c + di)(a + bi)
          a(c + di) + bi(c + di) = c(a + bi) + di(a + bi)
a(c) + a(di) + bi(c) + bi(di) = c(a) + c(bi) + di(a) + di(bi)
         ac + adi + bci + bdi² = ac + bci + adi + bdi²
            ac + adi + bci - bd = ac + bci + adi - bd
You might be interested in
If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?
aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where  -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0
3 years ago
Read 2 more answers
What is the degree of the monomial?<br> 3.25 + 2x2 - y+3
disa [49]

Answer:

5

Step-by-step explanation:

The degree is just the number with the highest power. In this case, it is 3^5. Therefore, 5 is the degree.

If this helps please mark as brainliest

8 0
3 years ago
Directions: Determine how much Marco would be paid
lidiya [134]

Answer:

766.87 is how much he is paid in all.

Step-by-step explanation:

2.5% of 75 is 1.875. 1.875 times 9 is 16.875. 75 times ten is 750. add together to get the whole.

7 0
2 years ago
Calculate for log 4 4^8
jek_recluse [69]
So log4 (4^8) is just 8
7 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a
galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

4 0
3 years ago
Other questions:
  • A theater charges $5 for student tickets and $7 for adults tickets. They sold 75 tickets for a total of $425. Which set of equat
    10·2 answers
  • When functions are defined by more than one​ equation, they are called?
    8·2 answers
  • The grades on the last history exam had a mean of 75%. Assume the population of grades on history exams is known to be normally
    11·1 answer
  • FUTA tax is paid A. only weekly. B. by an employee. C. by the employer. D. by both the employee and the employer.
    9·2 answers
  • What directed number is suggested by the statement "I gained 3 pounds "?​
    9·1 answer
  • Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side
    6·1 answer
  • Please help me with this question​
    5·2 answers
  • If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c
    15·1 answer
  • AC with B between A and C,AC=12inch and AB 7in what is the ratio of AB to BC
    12·1 answer
  • Help me please ASAP!!!!:::;;
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!