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Vlada [557]
3 years ago
10

What is the sum of the complex numbers 3 − 4i and 5 + 3i ?

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

8 - i

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

<u>Algebra II</u>

  • Standard Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

(3 - 4i) + (5 + 3i)

<u>Step 2: Simplify</u>

  1. Combine like terms (Z):                    8 - 4i + 3i
  2. Combine like terms (i):                      8 - i
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The formula for the area of a circle is A = r 2. Classify the area of a circle with a radius of 0.75 centimeters as either ratio
OlgaM077 [116]
First:The area of a circle is πr squared. Not r2
Second. The area of the circle HAS to be irrational because π is an irrational number. The answer would be, if solved for a circle with the radius of 0.75, the area would be 0.5625π, which is irrational. 
6 0
3 years ago
the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help
yarga [219]

Answer:

The function rule is

f:  x\to \:  {x}^{2}  - 1

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

f(0) =  {0}^{2}  - 1 =  - 1

f(1) =  {1}^{2}  - 1 = 0

f(2) =  {2}^{2}  - 1 = 3

f(3) =  {3}^{2}  - 1 = 8

f(4) =  {4}^{2}  - 1 = 15

When we generalize this pattern, we obtain:

f(x) =  {x}^{2}  - 1

This is the function equation.

The function rule is

f:  x\to \:  {x}^{2}  - 1

8 0
3 years ago
02.06)If 1 pint is equal to 2 cups, then 5 pints would equal ___ cups.
lawyer [7]
If 1 pint equals 2 cups then 5 pints equals 10 cups
Because 5 times 2 equals 10. Hope this helps.
8 0
3 years ago
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $
FrozenT [24]

Answer:

$30

Step-by-step explanation:

Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same

Based on the information given let x be the number of ticket to be purchased .

Carnival T entrance fee= $7.00

Ride= $0.50 per ticket

Carnival Q entree fee =12.00

Ride= $0.25 per ticket

Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)

.25 x = 5.00

Hence:

x=$.25+$5.00

×=$30

Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30

3 0
3 years ago
What is 1/3 of 30% of 5/6 of 0.6 of 12?
aliina [53]

Step-by-step explanation:

\frac{1}{3 } \times  \frac{30}{1}  = 10 \\  \\  \frac{10}{1}  \times  \frac{5}{6}  = 8.33 \\  \\  \frac{833}{100}  \times  \frac{6}{10}  = 4.998 \\  \\  \frac{4998}{1000}  \times  \frac{12}{1}  = 59.976

8 0
2 years ago
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