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
Vadim26 [7]
3 years ago
9

Write the following quotient in the form a+bi. -7i/2-7i

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}

Step-by-step explanation:

\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i

Illusion [34]3 years ago
3 0

Answer:

Write the following quotient in the form a+bi.

-7i/2-7i

Step-by-step explanation:


You might be interested in
A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $15,
soldi70 [24.7K]

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

3 0
3 years ago
Which triangle is a translation of triangle x?
Vadim26 [7]

Answer:

B

Step-by-step explanation:

because x is 3 high and 2 across so is B

4 0
3 years ago
Read 2 more answers
ASAP HELPPPPPPPPPPPPPP MEEEEB PLEASE
Andru [333]

Answer:

250 questions

Step-by-step explanation:

65 is equal to 26% of the total number of questions so:

65 / total number of questions (x) is equivalent to 26 / 100

(65 and 26 are a fraction of the whole thing. it doesn't matter whether they go on the numerator or denominator, as long as they are either both on one or the other)

65/x = 26/100

you can simplify this into

26x = 6500

/26    /26

then you divide by 26 on both sides to isolate the variable

x = 250

5 0
3 years ago
the worthington family is applying for a loan to purchase a new home.In order to qualify they must have a net worth greater than
larisa [96]

Answer:

I guess please finish the question or this is the numbers I had.

Step-by-step explanation:

  • Mr. Worthington is a dentist, so he has $85,400 in student loans to pay off.

  • Mrs. Worthington earns $42,500 per year at her job. The Worthington family has a savings account with a balance of $18,800.

  • They own two vehicles that are worth a combined total of $64,600.

  • Mrs. Worthington owns an antique necklace valued at $6,200.

  • The Worthingtons have been saving for their children's college fund. currently has a balance of $24,700.
5 0
2 years ago
Từ các loại phân: NPK (16-8-8), super lân (16% P2O5) và KCl (60% K2O). Hãy tính lượng phân thương phẩm của mỗi loại phân trên để
ruslelena [56]
Jdjdjdjeiicidididieieisikskskdkcodod
6 0
2 years ago
Other questions:
  • HELP PLEASE NOBODYS HELPING ME ALL MY POINTS TO YOU
    5·2 answers
  • Identify which lines are parallel y=(1/2)×+4
    15·1 answer
  • Please help<br> WILL MARK BRAINLYIST
    11·2 answers
  • The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
    14·1 answer
  • Can someone please answer this im so tired man​
    14·1 answer
  • What is a multiply of 4
    15·1 answer
  • The circle passes through the point (-1,-6). What is its radius?
    11·2 answers
  • PLEASE HELP I NEED IT TO PASS THIS CLASS
    13·1 answer
  • A right triangle has side lengths 19 inches, 180 inches, and 181 inches. What is the length of the hypotenuse and why?
    12·1 answer
  • YOO ITS 4AM AND I HAVE CLASS IN TWO HOURS I NEED HELP<br> -4(7a+7)-2a=92
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!