All categories

3 years ago

Find the real numbers x and y that make the equation true. -4+yi = x+3i

Mathematics

2 answers:

sineoko [7]3 years ago

8 0

We can manipulate the equation to get

$-4+yi = x+3i \iff -x+yi=4+3i$

The real part of our number is -x, and we want a real part of 4. So, we have x=-4

The imaginary part of our number is y, and we want imaginary part 3, so we have y=3.

vesna_86 [32]3 years ago

4 0

Answer:

x = -4

y = 3

Step-by-step explanation:

To get the values of x and y, you have to compare both sides of the equation.

For both sides to be equal,

yi must equal 3i

And x equal -4

yi = 3i-------------------------- divide through by i

y = 3

And x = -4'

You might be interested in

The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

3 years ago

Fiona has met her goal of exercising 150 minutes a week. She has kept it up for six months and is sure that it is now solidly pa

cricket20 [7]

Answer:

Step-by-step explanation:

You are always able to do better, and Fiona needs to reflect

4 0

2 years ago

Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?

8090 [49]

Answer:

O f(x) = x(x – b) 3

Step-by-step explanation:

$\huge\color{aqua}{\boxed{{\colorbox{black}{hope \: it \: helps}}}}$

3 0

2 years ago

Bill is shopping for folders, notebooks, and pencils for the first day of school. A notebook costs 4 times as much as a folder.

spin [16.1K]

<u>Answer:</u>

$14

<u>Step-by-step explanation:</u>

Assuming the cost of folder to be $x$ , then the cost of notebook will be $4 x$ and the cost of set of pencils will be $2 x$ .

Cost of the folder = $2

Cost of notebook = 4 × 2 = $8

Cost of pencil = 2 × 2 = $4

Total cost of 1 folder, 1 notebook and 1 set of pencils = $2 + $8 + $4 = $14

4 0

3 years ago

Pls help ill give a 100 jusrt answer these question and ill even give brainliest

mojhsa [17]

Answer:

That is a lot of questions to answer. But I will try.

a) 6 square units

b) 5/6

Second picture

1. Area = 6

2. Area = 4.5

3. Area = 20

4. Area = 9

5. Area = 17.5

Third picture

a) 8 units because if you move the bottom triangle to the top of the other triangle it makes a rectangle with height of 2 and length of 4.

I'm sorry I have to go I would love to finish this but I hope what I gave helps you!

8 0

3 years ago

Read 2 more answers