Step-by-step explanation:
I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?
I have x already and z = x+iy
3i and 3 are two complex numbers that fulfill this equation.
What are complex numbers?A complex number is a number of the form (a + bi), where [a] and [b] are real numbers and [i] is equal to [tex]\sqrt{-1}[/tex]. The general form of the complex number representation is (a + ib). In this, [a] is called real part and [ib] is called imaginary part.
We have -
zz* + 3iz = p + 9i
Assume the complex number to be -
z = a + ib
Then -
(a + ib)(a - ib) + 3i(a + ib) = p + 9i
a² + b² + 3ai + 3bi = p + 9i
(a² + b²) + i(3a + 3b) = p + 9i
So -
3(a + b) = 9
a + b = 3
(a² + b²) = p
Now -
Assume p = 9
Then -
a + b = 3
a² + b² = 9
we get two possible values -
(a, b) = (0, 3)
and
(a, b) = (3, 0)
It can be seen that the values of complex number depend upon the value of p. For p = 9, two complex numbers fulfill this equation -
0 + i3 = 3i
3 + i0 = 3
Therefore, 3i and 3 are two complex numbers that fulfill this equation.
To solve more questions on complex numbers, visit the link below-
brainly.com/question/617146
#SPJ2
A(5, 23) and B(-2, 2) are two points.
(a) Find the co-ordinates of the midpoint of the line AB.
Answer:
The midpoint of (5,23) and (-2,2) is (3/2,25/2)
hope that helps
Step-by-step explanation:
HELP SOMEONE PLZ HELP IM STRUGGLING PLZZ I NEED HELP I WILL MARK BRAINLEST
Answer:
Without any background information on the text such as what the physical environment is and what the economic activities are. I can't really help you.
solve the inequality 3(y+5)>21
Answer:
y > 2
Step-by-step explanation:
1) [tex]3(y+5)>21[/tex]
Divide both sides by 3.
2) [tex]y+5>7[/tex]
Move the constant to the right side and change it's sign.
3) [tex]y>7-5[/tex]
Subtract the numbers.
4) [tex]y>2[/tex]
PLEASE HELP ME PLEASE
Answer:
Solution :-Mean = 75 + 68 + 75 + 92 + 105/5
Mean = 415/5
Mean = 83
None of option is correct
[tex] \\ [/tex]
Find the value of 4/81
Answer:
0.04938271605
Step-by-step explanation:
4/81
=0.04938271605
pls mark as brainliest
Answer:
0.04938271605
Step-by-step explanation:
4/81=0.04938271605
=0.05
The total answer by the process of round up
Select all the following that could
be the dimensions of a rectangular
prism with a volume 60 cubic
centimeters.
Answer:
A ; C ; D
Step-by-step explanation:
Volume of a rectangular prism:
V = l x w x h
1) 5 x 4 x 3 = 60 (ok)
2) 25 x 20 x 15. The result is > 60
3) 5 x 2 x 6 = 60 (ok)
4) 4 x 1 x 15 = 60 (ok)
5) 5 x 8 x 2 = 80
Stephen opens a savings account with an initial deposit of $300.
Every month, Stephen will deposit an additional $250 into the
account from his paycheck. Which function below shows the total
amount of his deposits for x number of months?
A. y = 300x + 250
B. y = 12x + 550
C. y = x(300 + 250)
D. y = 250x + 300
Question 11(Multiple Choice Worth 1 points)
(08.06 MC)
The following data shows the weight, in pounds, of 5 boxes:
3, 1, 2, 2, 2
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
(A.) 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds
(B.) 0.8 pound; on average, the weight of a box varies 0.8 pounds from the mean of 2 pounds
(C.) 0.4 pound; the weight of 50% of the boxes is greater than 0.4 pound
(D.) 0.8 pound; the weight of 50% of the boxes is greater than 0.8 pound
Answer:
c is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
First put the numbers from least to greatest: 1, 2, 2, 2, 3 2 is the mean.
Then you determine the distance each data value is from the mean.
1, 2, 2, 2, 3
1, 0, 0, 0, 1
Calculate the mean of the distances: 1 + 0 + 0 + 0 + 1 = 2
Then divide: 2 divided by 5 = 0.4
So your answer is 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds
5. Find the surface area of the prism.
13 cm
5 cm
4 cm
12 cm
Answer:
162 sq. cm
Step-by-step explanation:
ph+ 2b
13 + 5 + 13 + 5 * 4 + 2 * 12
36 * 4 + 24
144 +24
168
This is relative frequency table. Can someone help?
Answer:
Step-by-step explanation:
59 kids are playing video games.. we are maybe missing some of the instructions? or are there not any more?
What is the volume of the cone?
Use 3.14 for π, and round to the nearest tenth.
Volume =
1 πr2h
3
=
1 ×π×22×7
3
= 29.321531433505 miles3
DLMN is a quadrilateral inscribed in a circle. If mÐD = 84° and mÐN = 74°, find mÐL.
9514 1404 393
Answer:
angle L = 106°
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary.
∠L = 180° -∠N
∠L = 180° -74° = 106°
24. ZABC and ZDEF are linear pairs. Which of the following is true?
a. If m ABC = 2m DEF, then m ABC = 120 and m DEF = 60.
b. If m ABC = m DEF + 40, then m ABC = 140 and m DEF = 40.
c. If m ABC = m DEF - 30, then m ABC = 30 and m DEF = 150.
d. If m ABC = 3m DEF, then m ABC = 130 and m DEF = 60.
A report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized and 20 out of 208 without pet dogs were burglarized. Suppose that this data is used to test the claim that the proportion of households with dogs that are burglarized is the same as the proportion of households without dogs that are burglarized. What would be the test statistic for this test
Answer:
The answer is "0.9184".
Step-by-step explanation:
This problem is assisted by data analysis:
Its overview hypothesis test to two sample proportions:
[tex]p_1 :[/tex]percentage of population contributions 1
[tex]p_2:[/tex]percentage of population contributions 2
[tex]\to p_1 - p_2:[/tex] proportion difference
[tex]\to H_0 : p_1 - p_2 = 0\\\\\to H_A : p_1 - p_2 ? 0[/tex]
Calculating the Hypothesis test values:
[tex]Diff \ \ Count1 \ \ Total1 \ \ Count2 \ \ Total2 \ \ Sam. Diff. \ \ Std. Err.\ \ Z-Stat \ \ P value\\\\[/tex]
[tex]p_1 - p_2\ \ 10\ \ 108\ \ 20\ \ 208\ \ -0.0035612536\ \ 0.034766147\ \ -0.10243452 \ \ 0.9184[/tex]
So, the [tex]P - value = 0.9184[/tex]
HELP WILL GIVE BRANLIEST!
No links!!
Answer:
32 ftEach base floor tile is 5ft and there's 4 tiles so 5x4=20
Next,there are 4 walls each wall is 3ft 3x4=12
Now you add your answers which is 20+12=32
Hope that helps
Solve using the tangent formula(real answers only please)
9514 1404 393
Answer:
21.07
Step-by-step explanation:
The tangent ratio is ...
Tan = Opposite/Adjacent
For the given values, this is ...
tan(36°) = x/29
Solving for x, we have ...
x = 29·tan(36°)
x ≈ 21.07
answer choices:
A. 42 °
B. 47°
C. 48°
D. 41°
can some one help me please
Answer:
D. 41°
Step-by-step explanation:
[tex](3x + 9) \degree = 132 \degree \\ (vertical \: \angle s) \\ 3x + 9 = 132 \\ 3x = 132 - 9 \\ 3x = 123 \\ x = \frac{123}{3} \\ x = 41 \\ \\ \because m\angle QRS =x\degree \\\therefore m\angle QRS = 41\degree [/tex]
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
Julio has $1026 worth of $10 and $11 stock shares. The number of $11 shares is six more than twice the
number of $10 shares. How many of each does he have?
The number of $10 shares: |
Enter an integer or decimal number (more..
The number of $11 shares:
Submit Question
Step-by-step explanation:
just follow the answer good luck
Are the cylinders similar? Why or why not?
Answer: are cylinders similar to what its not asking so id.kkk
Step-by-step explanation:
WHATS X AND WHY URGENT !!!!!!
4x + 7.8y = 7.85
- 8x - y = -4.75
Answer:
X=.5, y=.75
Step-by-step explanation:
Answer:
x=0.5, y=0.75Step-by-step explanation:
Method : Substitution Method
[tex]\begin{bmatrix}4x+7.8y=7.85\\ -8x-y=-4.75\end{bmatrix}\\\\[/tex]
Isolate in for 4x +7.8y=7.85 and solve
[tex]4x+7.8y=7.85\\\mathrm{Multiply\:both\:sides\:by\:}100\\\\4x\times\:100+7.8y\times\:100=7.85\times\:100\\\\Refine\\400x+780y=785\\\\\mathrm{Subtract\:}780y\mathrm{\:from\:both\:sides}\\400x+780y-780y=785-780y\\\\Simplify\\400x=785-780y\\\\\mathrm{Divide\:both\:sides\:by\:}400\\\frac{400x}{400}=\frac{785}{400}-\frac{780y}{400}\\\\Simplify\\x =\frac{157-156y}{80}\\\\\mathrm{Substitute\:}x=\frac{157-156y}{80}\\\\\begin{bmatrix}-8\times\frac{157-156y}{80}-y=-4.75\end{bmatrix}[/tex]
[tex]Simplify\\\\\begin{bmatrix}\frac{-157+146y}{10}=-4.75\end{bmatrix}\\\\Isolate\:y \:for \:\frac{-157+146y}{10}=-4.75\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\frac{10\left(-157+146y\right)}{10}=10\left(-4.75\right)\\\\-157+146y=-47.5\\\\-157+146y+157=-47.5+157\\\\Simplify\\146y=109.5\\\\\mathrm{Divide\:both\:sides\:by\:}146\\\frac{146y}{146}=\frac{109.5}{146}\\\\Simplify\\y=0.75\\\\\mathrm{For\:}x=\frac{157-156y}{80}\\\\\mathrm{Substitute\:}y=0.75\\\\x=\frac{157-156\times\:0.75}{80}\\\\x=0.5,\:y=0.75[/tex]
The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
4. What number comes next. Whats my rule?
34,41,. 55,63,
Whats my rule?
(2 Points)
Enter your answer
What is fifty-two billion in expanded form?
PLEASE HELP!!!! THERE IS A PICTURE SUBMITTED!
Answer:
C: 4 hours
Step-by-step explanation:
Mean = Σxn/n
Σx/n = ((2 × 4) + (3 × 5) + (4 × 6) + (5 × 3) + (6 × 3) + (7 × 0) + (8 × 1))/(4 + 5 + 6 + 3 + 3 + 0 + 1)
Σx/n = 88/22
Σx/n = 4 hours
Please help asap i’ll give brainly it's due in 30 min
Answer:
[tex]2\sqrt{3[/tex]
Step-by-step explanation:
Plss help mart brain list
Answer:
X=14
Step-by-step explanation:
Hope this helps , good luck ^^
if you let a soap in the floor does the soap is cleaning the floor or is the soap getting dirty?¿
Answer:
que
Step-by-step explanation:
no se
Answer:
soap is getting dirty regardless if there is water on the floor.
Step-by-step explanation:
A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?
No, this is not a right triangle.
Yes, because ED is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to ED which makes a right angle.
Answer:
B. Yes, because ED is perpendicular to DT which makes a right angle.Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
Slope of TD:
m = (-1 - 4)/(1 -(-2)) = -5/3Slope of ED:
(-1 - 2)/ (1 - 6) = -3/-5 = 3/5Product of the slopes is:
-5/3*3/5 = -1This confirms DT⊥ED
Correct choice is B
Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250