![emilyjohnna11](/avatars/40878.jpg)
emilyjohnna11
03.01.2020 •
Mathematics
1) express $\dfrac{30+19i}{4+9i}$ in the form $a + bi$, where $a$ and $b$ are real numbers.
2) for what real number $k$ does the product $(25 + ki)(3+2i)$ equal a real number?
3) what constant must we place in the box below in order to be able to factor the resulting expression into the product of two linear factors:
\[2mn - 16m - 7n + \boxed{\phantom{00}}? \]
4) how many pairs of integers $(b,c)$ satisfy the equation
\[\frac{b + 7}{b + 4} = \frac{c}{9}? \]
!
Solved
Show answers
More tips
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?...
- M Mathematics What is y=1.0(3*4)-1 for a graph...
- H Health Amber finds herself struggling to have a conversation with her friend while they are hiking.which of these modifications should she make? she should ask her friend to choose...
- M Mathematics Solve: y=3x and x+y=20...
- E English Look at the paragraphs that begin on page 1 and end at the top of page 3. How do these three paragraphs provide structure for the passage? John F Kennedy was the thirty-fifth...
- P Physics Which statement best describes an atom? protons and neutrons grouped in a specific pattern protons and electrons spread around randomly a ball of electrons and neutrons surrounded...
Ответ:
Question:
Express (30 +1 9i)/(4+ 9i) in a form a + bi, where a and b are real numbers.
(I could only get the answer for number 1)
3 - 2i
Explanation:
The conjugate of 4+9i is 4-9i. Multiplying the numerator and denominator by 4-9i, we get
Ответ:
Spike
Step-by-step explanation: