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
KonstantinChe [14]
2 years ago
15

Which of the following is equivalent to the complex number -8(7i - 3i^2)

Mathematics
1 answer:
Leni [432]2 years ago
7 0

Answer:  B) -56i - 24

This is the same as -24 - 56i

=============================================

Explanation:

The 'i' refers to the imaginary number \sqrt{-1}

In other words, i = \sqrt{-1}

Squaring both sides gets us i^2 = -1

So,

x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.

You might be interested in
A bottle contains 120 fluid ounces
inessss [21]

Answer:

B. 4.05 liters

Step-by-step explanation:

4 0
3 years ago
Carl earns $8 per hour in his summer job. He hopes to earn between $120 and $200 per week. How many hours (x) will he need to wo
yanalaym [24]
He would need to work 

120/8=15
orr
120x8=960
8 0
3 years ago
Read 2 more answers
Please show work on how you got the answer
Maurinko [17]
Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
3 0
3 years ago
Can anyone help? Thank you.
Tcecarenko [31]

Answer:

  91.8 ft

Step-by-step explanation:

So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.

The tangent function is useful here. By its definition, we know that ...

  TA/BA = tan(∠ABT)

and

  TH/TA = tan(∠HAT)

Then we can solve for TH by substituting for TA. From the first equation, ...

  TA = BA·tan(∠ABT)

From the second equation, ...

  TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)

Filling in the values, we get ...

  TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft

The height <em>h</em> of the tree is about 91.8 ft.

6 0
3 years ago
3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11​
sergij07 [2.7K]

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

5 0
3 years ago
Other questions:
  • 1. Events A and B are dependent, P(A)=20%, P(BIA)=25%. What is P(A and B)?
    7·1 answer
  • Which polynomial identity will prove that 49=(2+5)^2
    10·1 answer
  • The scale factor on a scale drawing of machine part is 15 1 /8. If the part is 3 7/8 inches long as the drawing, how long is the
    13·1 answer
  • Which of the following similarity statements about the triangles in the figure is true?
    12·1 answer
  • A couple would like to have two children, what the probability that they will not be the same sex
    14·2 answers
  • Which trinomial is the product of the expression below?
    6·2 answers
  • Q+5/9=1/6<br><br> Need help <br><br> Plz
    13·2 answers
  • H<br> А<br> F<br> 50°<br> 19x<br> 10x - 5<br> G
    13·1 answer
  • Fill in the blank to create a true equation:
    10·2 answers
  • The volume, V, of a cylinder is V=r²h, where r is the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!