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
bogdanovich [222]
3 years ago
5

The quotient of the complex # below (7-2i)/(4 +3i)

Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

Step-by-step explanation:

hello :

(7-2i)/(4 +3i)

=(7-2i)×(4-3i)/(4 +3i)×(4-3i)

but : (7-2i)×(4-3i) =28-21i-8i+6i²

(7-2i)×(4-3i) = 22-29i   ....i² = -1

(4 +3i)×(4-3i) = 4²-(3i)²...(identity)

                   = 16+9 =25

so :

(7-2i)×(4-3i)/(4 +3i)×(4-3i)

=(22-29i)/25

(7-2i)/(4 +3i) = 22/25 -29/25i

(form : a+ib)

You might be interested in
If cost of 12 pens is ₹134, then what will be the cost of 5 such pen( please explain by method, don't answer directly)
sertanlavr [38]

First you need to divide ₹134 by 12 to find the cost of each pen.

\frac{134}{12}  =  \frac{67}{6}

Multiply the cost of each pen by 5 to find the cost of 5 pens.

( \frac{67}{6} ) \times 5 =  \frac{335}{6}

≈ ₹55.8 (correct to 1 decimal place)

5 0
4 years ago
See attached question
Nady [450]

Answer:

Its 34 times 87

Step-by-step explanation:

34 times 87 is 2958

3 0
3 years ago
How do I solve x+2/3=5/6
aleksley [76]
You would subtract 2/3 from 5/6 and that should give you 1/6
x=1/6
4 0
3 years ago
Read 2 more answers
DO,K = (6, 12) (12, 24) The scale factor is _____. 1/2 2 4 3/2
SVEN [57.7K]

~Hello There!~

12/6 = 2

24/12 = 2

The scale factor is 2.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

4 0
3 years ago
Read 2 more answers
Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneou
PilotLPTM [1.2K]
5sqrt(x+7)=-10
Dividing both sides by 5:
5sqrt(x+7)/5=-10/5
sqrt(x+7)=-2
Squaring both sides of the equation:
[sqrt(x+7)]^2=(-2)^2
x+7=4
x+7-7=4-7
x=-3

Replacing in the original equation:
5sqrt(x+7)=-10
5sqrt(-3+7)=-10
5sqrt(4)=-10
5(2)=-10
10=-10 It's not equal, then x=-3 is an extraneous solution
7 0
3 years ago
Other questions:
  • A sales representative must visit eight cities. There are direct air connections between each of the cities. Use the multiplicat
    9·1 answer
  • Find the non-extraneous solutions of square root of x+3-4=x-1
    6·1 answer
  • Can you have an isolceles triangle withsides of 3cm, 8cm, and 8cm?
    13·1 answer
  • Which of the following inequalities is represented by the following graph?
    11·1 answer
  • Find 15/4+(−4 1/3). Write your answer as a fraction in simplest form.
    12·1 answer
  • In the figure below, what is m21 if the m23 = 70°? 3\2 41
    13·1 answer
  • 3. Gas is $2.09 per gallon at the gas station. If
    10·2 answers
  • Which table matches the function<br> y = 3x + 1?
    15·1 answer
  • Isabella is making a huge flag of her country, the Republic of Seychelles, on a canvas 20 by 10 meters long. To do that, she has
    12·1 answer
  • Volume and surface area rectangular prism <br><br> 13 in 7in 7in
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!