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fenix001 [56]
3 years ago
8

Find the sum of 3 - 7i and 8 + 4i.

Mathematics
2 answers:
elixir [45]3 years ago
3 0
Thanks for your equation!

This problem seems tricky, but is pretty simple.

All we have to do is add:

3 - 7i + 8 + 4i

And combine like terms:

-3i + 11

Hope this helps!
alexira [117]3 years ago
3 0
This problem looks tricky but in truth is very simple:
You simply add 3-7i+8+4i
You combine terms and it equals to- 11-3i
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Evaluate |bc|, given a = 5, b = -3, and c = -2.
Anni [7]

Answer:

6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • |Absolute Value| - makes any number positive

Step-by-step explanation:

<u>Step 1: Define</u>

|bc|

a = 5

b = -3

c = -2

<u>Step 2: Evaluate</u>

  1. Substitute:                    |-3 · -2|
  2. Multiply:                        |6|
  3. Evaluate:                       6
7 0
2 years ago
Please help me idk this
Elodia [21]
Factors are: 0, 1, 2, 4, 8, 16
6 0
3 years ago
Read 2 more answers
Dave bought a package of 4 chocolate cookies. Each cookie weighed 0.5 ounces. How much did the 4 cookies weigh all together? Ple
Sauron [17]
4 (cookies) X .5 ounces = 2 ounces
3 0
3 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
Read 2 more answers
Need help with school
zepelin [54]

Answer:

x=6°

Step-by-step explanation:

The value of x is 6°.

5 0
2 years ago
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