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
aleksklad [387]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer: Option A; x = 5, y = -13

Step-by-step explanation:

We have the equation:

(x + yi) + (4+9i) = 9-4i

Solving the left side we have:

x + y*i + 4 + 9*i = 9 - 4*i

(x + 4) + (y + 9)*i = 9 - 4*i

The real part is x + 4, and this must be equal to the real part in the right that is 9, then:

x + 4 = 9

x = 9 - 4 = 5

x = 5

And the imaginary part in the left needs to be equal to the imaginary part in the right, then:

y + 9 = -4

y = -4 - 9 = -13

y = -13

then the solution is x = 5, y = -13

The correct option is A

You might be interested in
Who wrote down the equation for the law of gravitation?
aalyn [17]
It was the English Scientist Sir Isaac Newton.
7 0
3 years ago
Write an expression for the area and perimeter for the figure shown
nikklg [1K]

Answer:

Area = 3x² + 7x + 3

Perimeter = 8x + 8

Step-by-step explanation:

The figure can be decomposed into two: a large rectangle and a smaller rectangle.

✍️Dimensions of the large rectangle:

Length = (x + 1) + x = x + 1 + x = (2x + 1)

Width = (x + 3)

Area = length × width

Area = (2x + 1)(x + 3)

Expand

2x(x + 3) +1(x + 3)

2x² + 6x + x + 3

Area = 2x² + 7x + 3

✍️Dimensions of the large rectangle:

Length = x

Width = x

Area = length × width

Area = x × x = x²

✍️Area of the figure = area of the large rectangle + area of the smaller rectangle

Area of the figure = (2x² + 7x + 3) + x²

Area of the figure = 2x² + x² + 7x + 3

✅Area = 3x² + 7x + 3

✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x

✅Perimeter = 8x + 8

4 0
3 years ago
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cup of juice to mags. how much is left in lunas
Black_prince [1.1K]

Answer:

3/4+3/8

=9/8

9/8-5/8

=4/8 or 1/2 left

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
6. 3x - 2y = 19<br> x + y=8.
EastWind [94]

Answer:

3x - 2y = 19

x + y=8.

rewrite

-2y=-3x+19

-2y=2x-16

-3x+19=2x-16

+3x

19=5x-16

+16

35=5x

x=7

y=1

Hope This Helps!!!

3 0
3 years ago
Read 2 more answers
Let C be the circle in the xy plane centered at (5,0) with radius 2, and let S be the resulting surface in R3 when you rotate C
guajiro [1.7K]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

7 0
3 years ago
Other questions:
  • Solve for x<br> -4x-2=-2(1-4x)
    15·1 answer
  • please help. use the table below to answer the questions. i just took a picture of the answer and stuff.
    9·2 answers
  • 12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one hour
    5·2 answers
  • Factor 28x² + 48x + 20​
    7·2 answers
  • Mary has already sold $55 worth of tickets to the benifet concert. She has 3 tickets left to sell at $7 per ticket. Write a func
    6·1 answer
  • Classify each triangle with the given side lengths as Acute, Obtuse, or Right
    7·2 answers
  • -90d = 9 What is d??
    8·2 answers
  • Ab(a²-b²)<br><br>can somebody solve this for me.<br>​
    13·1 answer
  • 23, 529/23
    10·1 answer
  • Simplify 35x-35<br> over 14x-49
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!