Answers
Answer: Option D.
Step-by-step explanation:
When we want to graph a complex number in a coordinate axis, the real part of the complex number is represented by the x-axis, and the complex part is represented by the y-axis.
in this case, we can see that the coordinates of the point are:
(-2, 2)
Then the complex number is:
Z = -2 + 2*i
Now we need to see which one of the given options is equal to this.
Let's check the real part for every option, so we can discard some of them:
A) real part = -2*cos(135°) = 1.41 (we can discard this option)
B) real part = 2*cos(7*pi/4) = 1.41 (we can discard this option)
C) real part = √2*2*cos(225°) = -2
D) real part = √2*2*cos(3*pi/4) = -2
So options C or D are the correct one, now let's check the complex part for each one
C) complex part = √2*2*sin(225°) = -2 (we can discard this option)
D) complex part = √2*2*sin(3*pi/4) = 2
So the correct one is the D option.
I answer with a picture
Related Questions
Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.
1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12
Answers
Answer:
Step-by-step explanation:
Sry but I only did 1,2,5,6,7&8
But am not sure if am correct just try
Kate’s father is a baker at the Morning Muffin Bakery. This morning the oven wasn’t working correctly and 2 dozen muffins burned. Kate’s father gave ¼ of what was left to Kate to take to school. He wrapped up ½ of the remaining muffins and sold them to the grocery store down the street. He then wrapped ⅓ of what was remaining and gave them to the coffee shop to sell. That left Kate’s father with a dozen muffins to sell at the bakery. How many muffins did Kate’s dad bake?
Answers
Answer:
64
Step-by-step explanation:
Step 1: 12 divided by 3 = 4. 12+4 = 16.
I need to know what ⅓ of 12 is so I can continue the problem without messing up.
Step 2: 16*2 = 32.
Half of however many are left is 16.
Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.
Now we know the answer.
Boom.
Name the two congruent triangles
Answers
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Pleasee helppp it’s due todayyy
Answers
Answer:
88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.
Step-by-step explanation:
Find the x- and y intercepts and write as an ordered pair.
Answers
What is the area of this shape
Answers
i think im not sure
How do I solve 5x/6=-8 to get the answer
Answers
Answer:
Download photo math
Step-by-step explanation:
ags of sugar come in 3 sizes.
Small bag: A 250 g bag costs 64p.
Medium bag: A 575 g bag costs £1.25.
Large bag: A 1.25 kg bag costs £2.54.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Write which size of bag is best value for money in the comment box.
Answers
Answer:1 gram of the small bag costs 0.256p ,1 gram of the medium bag costs 0.217p and 1 gram of the big bag costs 2. 032p
Step-by-step explanation:
solve for x: -3(x+7)=5 . Explain how you solved for x and how you know your answer is correct
Answers
Answer:
Step-by-step explanation:
-3(x+7)=5
1. Multiply 3 and x+7 , you will get -3x-21=5
2. Add 21 on both sides, you will be left with -3x=26
3. Divide both sides with -3, and x will equal to -26/3
If you divide me by 9, the remainder is 4. I am a multiple of 10. What two-digit number am I?
Answers
Answer:
40?
Step-by-step explanation:
i tried
Some potatoes are split equally between 5 bags. If there
are 22 pounds of potatoes, how many pounds are in each
bag?
Answers
Answer:
4.4 pounds in each bag
Step-by-step explanation:
divide 22 by 5 and that is how many pounds are in each bag
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answers
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
What is the answer to this please help
Answers
Answer:
[tex]2\sqrt{42} + 7\sqrt{2} -6- \sqrt{21}[/tex]
Step-by-step explanation:
[tex](\sqrt{14} - \sqrt{3})(\sqrt{12} + \sqrt{7})[/tex]
root 12 can be changed to 2 root 3
then multiply
then simply
and you should get ur answer
PLAZ HELPPP PWETRYYY PSLOD
Answers
Answer:
=
Step-by-step explanation:
whatever comes out of an absolute value is always positive so 8=8
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answers
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answers
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
if ABCA-QRS, what must be the measure of <A
Answers
Answer:
m<A is 33
Step-by-step explanation:
126+21+x=180
147+x=180
180-147=x
x=33
Answer choices please help
240
200
240
280
Answers
The point A(-3,7) is reflected over the origin and its image is point B. What are
the coordinates of point B?
Answers
Answer:
B(3,-7)
Step-by-step explanation:
Basically, you just have to transform the signs to it's opposite and just keep the points.
Need help please help me
Answers
Your business loan has a variable interest rate. Next month the annual rate will jump from 6.3% to 7.8%. Your balance is
$1,620,000. How much will your monthly payment go up?
Answers
Answer:
$2,025
Step-by-step explanation:
The monthly payment will be increased by $2,025.
What is an amount?
The quantity of money anyone has is termed as the amount. Your monthly payment based on the rate of 6.3% per annum is:
= (6.3% * 1,620,000 ) / 12 months
= 102,060 / 12
= $8,505
Now that the rate has gone up to 7.8% per annum, the payment is:
= (7.8% * 1,620,000 ) / 12 months
= 126,360 / 12
= $10,530
Payment went up by:
= 10,530 - 8,505
= $2,025
Therefore the monthly payment will be increased by $2,025.
To know more about the amount follow
https://brainly.com/question/25109150
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Highest common factor of 15 30 and 45
Answers
Step-by-step explanation:
I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15
.......hope it helps!
Answer:
15
Step-by-step explanation:
Find the prime factors for each number as:
45 =3 × 3 × 5
30 = 2 × 3 × 5
15 = 3 × 5
Now identify the common factors and determine the GCF:
Therefore:
HCF = 3 × 5 = 15
WILL MARK BRAINLIEST!!!
(03.03)
The description below represents Function A and the table represents Function B:
Function A
The function is 2 more than 5 times x.
Function B
x
y
−1
2
0
5
1
8
Which statement is correct about the slope and intercept of the two functions? (1 point)
Select one:
a. Their slopes are equal but y-intercepts are not equal.
b. Their slopes are not equal but y-intercepts are equal.
c. Both slopes and y-intercepts are equal.
d. Neither slopes nor y-intercepts are equal.
Answers
Function b? Honestly, I need these points.
A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?
Answers
Help please!! I’ll give best answer brainliest!!
Answers
Answer:
D, The last one
Step-by-step explanation:
Calculate the area, in terms of x and in simplest form, of the rectangle shown below.
5x + 4
2x - 5
Answers
5x +4 the x is 2 the answer to this is 14
2x-5 the x is 4 the answer to this is 13
The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answers
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
The mean number of lessons for group A is greater than the mean
for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean
for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the
dogs in group A
Answers
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD
Step-by-step explanation:
Given the table :
_______Mean number of lessons ____ MAD
GRP A _____ 5 ___________________ 2
GRP B _____ 3 ___________________ 2
With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3
Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.
The mean absolute deviation (MAD), measures how far a value is from the mean
Difference in mean number of lessons :
5 - 3 = 2
2 lessons ;
Number of mean absolute deviations:
Difference / MAD value = 2 / 2 = 1
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
Step-by-step explanation:
Test approved
Find the value of x in the triangle shown below 3 6
5
√18
√27
4
Answers
a^2 + b^2 = c^2
In this case we're looking for C
so
(3)^2 + b^2 = (6)^2
9 + b^2 = 36
b^2 = 36-9
√b^2 = √27
b = 3√3
Answer:
the answer is actually d= 27
Step-by-step explanation: