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
grandymaker [24]
2 years ago
10

Find the quotient of these complex numbers.

Mathematics
1 answer:
stich3 [128]2 years ago
8 0

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

You might be interested in
Can someone help me understand this?
ASHA 777 [7]

< means 'less than'. 3.5 is less than 4.5, so A is correct. Since -4.5 is NEGATIVE it is less than 0. As for C, since both numbers are negative, it would be the seemingly 'smaller' number that is actually bigger. It may help to think of the numbers on a number line. In the negatives, the numbers start to go in reverse, so the further from 0 a negative number is, the smaller it is. -4.5 IS LESS than -3.5. All answers are correct.

4 0
3 years ago
Read 2 more answers
At maximum speed, an airplane travels 2,400 miles against the wind in 6 hours. Flying with the wind, the plane can travel the sa
Hatshy [7]
X - y  = 2400/6 = 400        where x = speed of plane and y = speed of wind.

x + y =  2400/5 = 480          - flying with the wind

adding the 2 equations 
2x = 880
x = 440

Speed of the plane with no wind = 440 mph
5 0
3 years ago
Read 2 more answers
Decrease 248 by 30%
Snowcat [4.5K]
Okay this equation really says is what is 30% of 248.

So, lets convert 30% to a fraction, 3/10 which is easier to work with.

All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4

So subtract 74.4 and get

173.6
8 0
3 years ago
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should
forsale [732]

Answer:

9.3 inches

Step-by-step explanation:

The computation of the radius of the spinner be given below:

Let us assume the same be x

So

We know that

Total area of the sector = one-sixth of the total area of the spinner

Given that

45.1 =  1 ÷ 6 × π × r^2

r^2 = 45.1 × 6 ÷ π

r^2 = 86.1

r = 9.279

= 9.3 inches

3 0
3 years ago
A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How man
Elza [17]
Draw a number line with 10 positives and 10 negatives. Count from 0 to 8. Now, from 8, count back 12 spots. From that spot, go back to 0, which is their original position. The number you counted there is your answer.
4 0
2 years ago
Read 2 more answers
Other questions:
  • The function h is defined by h (x) = 5x + 2
    10·1 answer
  • You pay 0.25p dollars to print page photos. What is the coefficient represent?
    5·1 answer
  • Need help with the whole thing
    6·2 answers
  • Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
    12·1 answer
  • Find the Volume of the box using the Pythagorean Theorem.
    9·2 answers
  • Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length
    5·2 answers
  • Helppppppppppppppppppppppp meeeeeeee
    13·2 answers
  • What is the average rate of change for this function for the interval x=2 to x=4?
    6·1 answer
  • Whats the slope and y intercept of 10x + 5y =15
    15·2 answers
  • Calculate the volume of the figure below.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!