Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.
Step-by-step explanation:
How do you solve for x
3x^2 = -24x
[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]
Step-by-step explanation:
3x² = -24x
Divide through by x
3x = -24
x = -24/3
x = -8
If
x
=
5
and
y
=
7
, evaluate the following expression:
100
−
3
(
3
y
−
4
x
)
Answer:
97
Step-by-step explanation:
100-3(3y-4x)
97(3×7-4×5)
97(21-20)
97(1)
=97
angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship
Answer:
it's angle not angel.
Step-by-step explanation:
Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.
Answer:
the answer to your question is B $3.60
3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?
Answer:
Did you get the answer to this. I am struggling on this as well.
Step-by-step explanation:
Solve pls brainliest
Answer:
a)0.085 b)19.6 percent
Step-by-step explanation:
Answer:
a) 0.085
b) 19.6%
Step-by-step explanation:
3.) What would 9 gallons of gas cost at $2.12 per gallon? *
$18.80
O $17.56
$19.08
$11.12
Answer:
19.08
Step-by-step explanation:
each gal = $2.12
gals filled = 9
9 x 2.12 = 19.08
Answer the questions below, no links.
Answer:
[Graph] See attached
[Question] A, C, & E
Step-by-step explanation:
[Graph] 0.4 -> 2/5
() It will go through the origin (0, 0) because we have no b, or y-intercept
() From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc
() See attached
[Question]
() A, C, E
() It is proportional (one to one as it is a straight line) so A is correct
() The slope in y = mx + b is m, and our m is 0.4 so it is the slope
() 3 * 0.4 = 1.2, so E is correct
hurry please im dead meat if i cant do this picture below
Answer:
4 divided by 1/8
hope it helps
Step-by-step explanation:
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
Answer:
C. 10 weeksStep-by-step explanation:
Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11
cost of television divided by weekly savings = number of weeks
625 : 62.50 = 10 weeks
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
watch out for people who post links as an answer to your questions. they will mess up your account
Answer:
OK THX
Step-by-step explanation:
Which two ratios make a proportion. a) 9÷12 and 15÷20 b) 4/25 and 17/101
PLZ ANSWER QUICK will mark branilyist.
Answer:
I think the answer would be b
!!!!!!!!!!!!!!!!!!!!!!!!!#
[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]
The best option is letter C. t = 2h + 32
C. t = 2h + 32please give me the correct answer. T^T
Answer:
All pairs of corresponding sides are congruent
Step-by-step explanation:
∠A≅∠D
∠B≅∠E
∠C≅∠F
Evaluate the expression-3 x + 4 when x = 2.
Answer:
-2
Step-by-step explanation:
-3x + 4
-3(2) + 4
-6 + 4
-2
Substitute in 2 for x, and solve.
Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line
Answer:
-5+4= -1
Step-by-step explanation:
On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.
Weather report, pls help me y’all i don’t wanna fail this class i beg you plss
Answer:
1
Step-by-step explanation:
CHINESE SOCIAL CREDIT POINTS
What do you think about Mao Tse-tung
Answer:Stuff Step-by-step explanation:
Find the total surface area in square units of the figure below by creating a net.
PLEASE EXPLAIN THE WORK WHEN YOU ANSWER FOR ME PLEASE
solve each equation:
1: |b-6|=1
2:|b+2|=7
Answer:
Step-by-step explanation:
theres 2 possible solutions for each equation and each one is right
or for dummies, just reverse the +/- inside the l x +/- y l. and make 2 different equations the first with a + and the second with a -
1. lb-6l = 1
b - 6 = 1
b = 7
-----------
b + 6 = 1
b = -5
--------------
2. lb+2l=7
b + 2 = 7
b = 5
--------------
b - 2 = 7
b = 9
---------------
if f(n) = -6n + 2, find t 5/6
find CP when sp=47180 loss=5%
Answer:
The cost price 49,359
Step-by-step explanation:
To find the loss, turn 5% to decimal then multiply it to the selling price
5% = 0.05
47,180 * 0.05 = 2,359
The loss is 2,359.
Now add it to the selling price to find the cost price.
47,180 + 2,359 = 49,539
PLZZZZ HELPPPP MEEEEEE
Answer:
13
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
Pls Solve
Due today
For a grade
First will be Brainliest!
Mark of Ben in semester 1 examination is 586:600. Convert it into percentage
Answer:
97.67
Step-by-step explanation:
600 = 100%
586 = x%
[tex]\frac{100}{x} = \frac{600}{586}[/tex]
x = [tex]\frac{586.100}{600}[/tex] = [tex]\frac{586.100}{6.100}[/tex] = [tex]\frac{586}{6}[/tex] = 97.67
Plzzzzz help meeeee plzzz
Answer:
1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.
[tex]1 m^{2} = 10,000 cm^{2}[/tex]
[tex]1 mm^{2} = 0.01cm^{2}[/tex]
[tex]1 km^{2} = 1,000,000 m^{2}[/tex]
Now, using that knowledge, we can find the answers to all questions.
1) 0.15 [tex]m^{2}[/tex]
2) 0.086 [tex]m^{2}[/tex]
3) 0.1 [tex]cm^{2}[/tex]
4) 600,000 [tex]cm^{2}[/tex]
5) 0.0001 [tex]km^{2}[/tex]
6) 400 [tex]cm^{2}[/tex]
7) 52,100 [tex]mm^{2}[/tex]
8) 500,000 [tex]m^{2}[/tex]
9) 0.087 [tex]mm^{2}[/tex]
10) 50 [tex]cm^{2}[/tex]
That's all folks!
a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does he have enough for the recipe
Answer:
Yes
Step-by-step explanation:
He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz
I hope this could help!
Answer:
yes and he will have 4.8228 fluid ounces left over
Step-by-step explanation:
1.5 pints + 28.8228 US fluid ounces
Find the measure of X
Answer:
x = 6
Step-by-step explanation:
When parallel lines are intersected by a transversal
alternate exterior angles are congruent
Therefor
15(x + 2) = 120
Divide both sides by 15
x + 2 = 8
Subtract 2 from both sides
x = 6
Answer:
Step-by-step explanation:
here 120 degrees would be the same as 15(x+2)
Just like how angle R on the other side of 120 Degrees is the same
so 15(x+2) = 120 degrees
let us distribute
15x +30 = 120
-30 -30
15x=90
15x/15=90 /15
x=6
so what you have selected is correct