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
Margaret [11]
3 years ago
10

What is the product of complex numbers (-3i +4) and (3i +4)??? please explain

Mathematics
2 answers:
Temka [501]3 years ago
7 0
Product of complex numbers (-3i +4) and (3i +4)

(x - y)(x + y) = x² - y²

(-3i +4)(3i +4) = (4 -3i )(4 + 3i) = 4² - (3i)² = 16 - 9*(-1)=16 + 9 = 25
drek231 [11]3 years ago
6 0

Answer:

(-3i+4)*(3i+4)=25

Step-by-step explanation:

1. First writhe the complex numbers to multiply:

(-3i+4)*(3i+4)

2. Multiply the first term of the first parentheses by the first term of the second parentheses:

-3i*3i=-9i^{2}

3. Multiply the first term of the first parentheses by the second term of the second parentheses:

-3i*4=-12i

4. Multiply the second term of the first parentheses by the first term of the second parentheses:

4*3i=12i

5. Multiply the second term of the first parentheses by the second term of the second parentheses:

4*4=16

6. Write all the terms:

(-3i+4)*(3i+4)=-9i^{2}-12i+12i+16

7. Add up the terms:

(-3i+4)*(3i+4)=-9i^{2}+16

8. As i^{2}=-1:

(-3i+4)*(3i+4)=-9(-1)+16\\(-3i+4)*(3i+4)=9+16\\(-3i+4)*(3i+4)=25

You might be interested in
Solve 3[-x + (2 x + 1)] = x - 1.
vivado [14]

Answer:

The answer is-2.

Step-by-step explanation:

#Hope it helps uh......

8 0
3 years ago
From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab
Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side  

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:  

tan40 = 16/x

Solving for x  

x =16/tan40

x= 19 ft  

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
3 years ago
State the commutative property of addition using the variables a and b.
Verdich [7]

Answer:

a+b=b+a

Step-by-step explanation:

so 7+4=12 and 4+7=12 so addition is commutative

7 0
3 years ago
Read 2 more answers
Guide
Tema [17]

Answer:

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Perform the operation. 4x-y/3 - x+y/2
    7·1 answer
  • An open-top box is to be made from a 42-inch by 48-inch piece of plastic by removing a square from each corner of the plastic an
    9·1 answer
  • Every set of three points is coplanar. <br> True or False
    9·2 answers
  • Help please, I'm not timed
    8·1 answer
  • Help me please peoplee​
    14·1 answer
  • . What is the slope of a line with the equation y = 5x + 35 ? ​
    9·1 answer
  • What is the perimeter of a triangle whose sides are 4x, 3x+5, and 9-x?
    15·1 answer
  • Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account an
    15·1 answer
  • What is the number name of (i)46,25,689and (ii)658,902,250​
    9·1 answer
  • How many gallons is equal to 48 cups?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!