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
Alexxandr [17]
3 years ago
13

Find the values of x and y that satisfy the equation –21 + 5yi = 7x – 10i.

Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

The values of x and y are x = -3 and y = -2

Step-by-step explanation:

In the complex numbers if a + bi = c + di, then the real parts are equal and the imaginary parts are equal

  • a = c
  • b = d

Let us use this rule to solve the question

∵ -21 + 5yi = 7x - 10i

∴ The real parts are -21 and 7x

∴ The imaginary parts are 5y and -10

∵ The real parts are equal

∴ 7x = -21

→ Divide both sides by 7

∴ \frac{7x}{7} = \frac{-21}{7}

∴ x = -3

∵ The imaginary parts are equal

∴ 5y = -10

→ Divide both sides by 5

∴ \frac{5y}{5} = \frac{-10}{5}

∴ y = -2

∴ The values of x and y are x = -3 and y = -2

You might be interested in
7 copies of the sum of 8 fifths and 4
Agata [3.3K]

Answer:

  • 39 1/5 or 39.2

Step-by-step explanation:

<u>Sum of 8 fifths and 4:</u>

  • 8/5 + 4 =
  • 1 3/5 + 4 =
  • 5 3/5

<u>7 copies of the of sum of 8 fifths and 4:</u>

  • 7 × 5 3/5 =
  • 7( 5 + 3/5) =
  • 35 + 7(3/5) =
  • 35 + 21/5 =
  • 35 + 4 1/5 =
  • 39 1/5 or 39.2
4 0
3 years ago
Please help and I will mark big brain ​
irga5000 [103]

Answer: 6

Step-by-step explanation:

(41--1)/ (8-1)  = 42/7 = 6

3 0
3 years ago
Read 2 more answers
What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?
EleoNora [17]
 Equation arrangement: 10 + [1/2]^4. 48
[1/2]^4 = 1/2 * 1/2 * 1/2 * 1/2 = 1/16
10 + [1/16] * 48
According to the law of BODMAS, we have to carry out multiplication operations before we carry out addition operations, therefore, we now have.
[1/16] * 48 = 3
Then, 10 +3 =13.
Thus, the final answer is 13.
5 0
3 years ago
The average temperature in the North Pole in the summer is 32 degrees F. The average temperature in the North Pole in the winter
wlad13 [49]

Answer:

he counted from 32 to 40 , and not to -40

Step-by-step explanation:

the difference is 72 degrees

7 0
3 years ago
I really need help! can someone help me
Jet001 [13]

Answer:

M + $13.72 = $58.22

Step-by-step explanation:

Manny and Sam combined (+) have a total (=) of $58.22

M + S = $58.22

M + $13.72 = $58.22

8 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the slope of -1,-10 and -1,-2
    12·1 answer
  • Please help me with this question :) thanks.
    10·1 answer
  • Y = | x |, 4 units right, reflection over x-axis
    11·1 answer
  • PLEASE HELP! No random links.
    9·2 answers
  • What is the volume of a sphere if the radius is 9?<br><br><br> ANSWER IN TERMS OF PI !!!
    5·2 answers
  • There is a bag filled with 3 blue and 4 red marbles a marble is taken at random from the bag the colour is noted and then it's r
    7·1 answer
  • If 1 inch equals approximately 2.5 centimeters, how many centimeters are equal to 12.5 inches?
    10·1 answer
  • .Steve can save 24 dollars every day , Tom can save 30 dollars every day and Saira can save 50 dollars every day. What is the le
    13·1 answer
  • 48/8 = 42/x
    5·1 answer
  • Simplify this expression.<br><br> 2+. 3. 5-
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!