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
fredd [130]
4 years ago
7

Multiply 6+2i and it’s conjugate. Simplify. Help me please ASAP

Mathematics
1 answer:
vlabodo [156]4 years ago
7 0

Answer:

40

Step-by-step explanation:

(6 + 2i)(6 – 2i) = 36 – 4i²

= 36 + 4 = 40

You might be interested in
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Ove
BigorU [14]

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

\dfrac{9}{n^2+1} =\dfrac{n+3}{4}

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

brainly.com/question/15070282

5 0
3 years ago
34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
2 years ago
Choose the expression that would equal the number of hours in the following question. If a car averages 50 1/3 miles per hour, h
Reika [66]
50 (1/3) mph
47 (1/2) = 47.5 mph

47.5 / 50 (1/3) = <span> <span> <span> 0.943708609271523 </span> </span> </span> hours

times 60 =
<span> <span> <span> 56.6225165563  </span> </span> </span> minutes =

56 minutes <span><span><span>37.3509933775 </span> seconds

</span></span>
6 0
3 years ago
Read 2 more answers
A trail around a lake is 4 1/4 miles long. What is the length, in feet, of the trail?
Allisa [31]
1 mile= 5280 feet
1/5280= 4.25/x This is a proportion. 
5280 * 4.25= 22440
22440/1= 22440 

4 1/4 miles= 22440 feet

Hope this helps! :D
7 0
3 years ago
Read 2 more answers
How do you solve 3/5 times 2/3
UkoKoshka [18]
Hello! And thank you for your question!

First use the rule: A/b x c/d = ac/bd

3 x 2 over 5 x 3

Simplify 3 x 2:

6 over 5 x 3

Simplify 5 x 3:

6/15

Simplify further:

2/5

Final Answer:

2/5
3 0
3 years ago
Other questions:
  • andy has 9 math books and 6 reading books if he wants to distribute them evenly among some bookshelves so that each has the same
    8·1 answer
  • Is a plane a one dimensional figure
    13·1 answer
  • for the following questions, determine how many solutions each equation has. if one solution, state the value of x. x+6+8=2x-x+1
    9·1 answer
  • for each store what is the ratio of number of can to the price 24 pk 2 for $9.00 12 pk 4 for $10.00 12 pk 3 for $9.00
    7·1 answer
  • Last season, a softball team played 18 games. The team won 15 of these games. What is the ratio of the softball team's wins to i
    9·1 answer
  • The number of measles cases increased 13.6 % to 57 cases this year, what was the number of cases prior to the increase? (Express
    5·1 answer
  • What are the angles called pls help!
    11·1 answer
  • The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4
    11·2 answers
  • Justify each step x/3-7=11
    12·1 answer
  • How many more pumpkins have a mass between 999 and 121212 \text{kg}kgstart text, k, g, end text than between 000 and 333 \text{k
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!