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
kodGreya [7K]
4 years ago
12

Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work

Mathematics
2 answers:
velikii [3]4 years ago
8 0

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Fynjy0 [20]4 years ago
5 0

Answer:

The answer is

<h2>21 + 12i</h2>

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

<h3>But i² = - 1</h3>

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

<h3>21 + 12i</h3>

Hope this helps you

You might be interested in
At Downtown Burger, 3 of the last 6 customers wanted cheese on their burgers. Considering this data, how many of the next 12 cus
Crazy boy [7]

Answer:6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Identify each sequence as arithmetic or geometric. Explain your answer, and write an explicit formula for the
hammer [34]

Answer:

Arithmetic sequence

a_n=\frac{1}{2}-n for n\geq 1

Step-by-step explanation:

We are given that a sequence

-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},-\frac{7}{2},...

We have to identify the sequence as arithmetic or geometric and write an explicit formula .

a_1=-\frac{1}{2}

a_2=-\frac{3}{2}

a_3=-\frac{5}{2}

a_4=-\frac{7}{2}

d_1=a_2-a_1=\frac{-3}{2}+\frac{1}{2}=-1

d_2=a_3-a_2=-\frac{5}{2}+\frac{3}{2}=-1

d_1=d_2=-1

When the difference of consecutive terms is constant then the sequence is an arithmetic.

Hence, the sequence is an arithmetic.

a_n=a+(n-1)d

a_n=-\frac{1}{2}+(n-1)(-1)=-\frac{1}{2}-n+1=\frac{1}{2}-n for n\geq 1

3 0
3 years ago
Michelle took one of her friends out to lunch. The lunches cost $74 and
Reika [66]

Answer:

$91. 91

Step-by-step explanation:

i used a tip and tax calculator :))) hope this helps

8 0
3 years ago
MAtHhHhHHhhHHHH Ughhhhhhhhhh
yan [13]

The probability of three independent events happening one after the other is the multiplication of the probability of the single events.

The probability of spinning an odd number is 5/10=1/2, because there are 5 odd numbers (1,3,5,7 and 9) out of the 10 numbers from 1 to 10.

The probability of spinning a number less than 4 is 3/10, because there are 3 numbers (1,2 and 3) that are less than 4 out of the 10 numbers from 1 to 10.

The probability of spinning a 7 is 1/10, because you only have one good outcome out of 10.

So, the probability of winning the game is

\dfrac{1}{2}\times\dfrac{3}{10}\times\dfrac{1}{10} = \dfrac{3}{200}

3 0
3 years ago
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify you
mariarad [96]

Answer:

The answer to your question is:   y = -34x -3

Step-by-step explanation:

The equation of the line slope-intercept is y = mx + b

So, first we use this equation (y - y1) = m(x - x1)

Now we substitute the values given

                                             ( y + 3) = -34 (x - 0)

Now, expand                          y + 3 = -34x + 0

Finally, clear y from the equation        

                                               y = -34x -3

4 0
3 years ago
Other questions:
  • 2 examples of ratio​
    9·1 answer
  • 53/200 write the fraction or mixed number as a percent ....can u please explain how to do the problem....
    9·1 answer
  • a parallelogram has one side that is 9 millimeters and one side that is 13 millimeters. What is the perimeter of the parallelogr
    15·1 answer
  • Compare one fourth of ₹ 48 and one fifth of ₹60?
    15·1 answer
  • PLEASE HELP ME WITH THIS ONE ASAP THANKS SO MUCH
    15·1 answer
  • St. Mary's Church is holding a raffle in which 1172 tickets have been sold at a cost of $2.00 each. Three prizes will be awarded
    14·1 answer
  • The angles are supplementary what is the value of x
    15·1 answer
  • 1) simplify [1/2 divided by (-1/2 divided by 1/2)] divided by 2/5
    5·2 answers
  • The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit the aquarium o
    9·2 answers
  • What is 30% of 24 If you answer this first you get 10 points
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!