Answer:
Here are the step require to divide complex numbers:
Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.
Example 1 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:

Example 2 – Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 3 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

Click Here for Practice Problems
Example 4 - Divide: 
Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.

Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.

Step 3: Simplify the powers of i, specifically remember that i2 = –1.

Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 5: Write you answer in the form a + bi.

Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:

PLEASE HELP ASAP - ILL GIVE BRAINLEST
ITS 2 PAGES BUT 4 QUESTIONS
30 points
Answer:
Step-by-step explanation:
Al realizar el producto: (x – 3) (x + 6) se obtiene:
Seleccione una:
a. x 2 – 3 x – 18
b. x 2 – 18
c. x 2 + 3 x – 18
d. x 2 – 3 x + 18
[tex]\longrightarrow{\green{c. \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
2. Solve for x and y, Show your work
Answer:
use similarity to solve this
so the shape of side x is similar to side
x/6=10/8
8x=10 multiply by 6
8x=60
divide 60 by 8 to get 7.5
so x=7=5
using Pythagorean theorem
side RP=RS squared + SP squared
side RS=7=5
7.5squared =56.25
4.0+8.0=12
12squared=144
56.25+144=200.25
square root of 200.25=14.15
14.15=y+10
y=14.15-10
y=4.15
What’s the surface area and the formula for it?
Answer:
[tex]1440cm^{2}[/tex]
Step-by-step explanation:
SA=2lw+2lh+2wh - Formula
SA=2(12×20)+2(12×15)+2(20×15)
SA=(2×240)+(2×180)+(2×300)
SA=480+360+600
SA=1440
PLZZZZ I really need help!
Which function rule represents the best line of fit for the data in the plot?
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function rule that represents the best line of fit for the data in the plot is option C.
A) f(x)= x+8
Since the line has a positive slope this can not be the appropriate option.
B.) f(x) = -2x+14
Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.
D.) f(x) = 10
Since this is a straight horizontal line at y=1. This is not the appropriate option.
Hence, the correct option is C.
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In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?
Answer:
49/87 = .56 = 56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
she needs 200 more$
Step-by-step explanation:
Someone tell me the answers for this question please
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
Which of the following is true about a linear function? (4 points) Select one: a. It may curve in some parts and be horizontal in others. b. It must cross the origin. c. It has a constant rate of change. d. It must contain only positive values.
Option c: It has a constant rate of change.
X - 54 + 32x = 53 find the value of x.
a). 23
b). 3 8/33
c). 25
d). 6 2/17
Answer:
b). 3 8/33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x - 54 + 32x = 53
Step 2: Solve for x
Combine like terms: 33x - 54 = 53[Addition Property of Equality] Add 52 on both sides: 33x = 107[Division Property of Equality] Divide 33 on both sides: x = 107/33Simplify: x = 3 8/22help me please Which of the following graphs shows a negative linear relationship with a
correlation coefficient, r, relatively close to -1?
A
В.
C
D
A. Graph A.
B. Graph B
C. Graph C
D. Graph D
Answer:
B. Graph B
Step-by-step explanation:
The closer the data points are along the line of best fit, the closer the the correlation coefficient is to -1 or 1.
The data points in graph B are closer to each other along the line of best fits and the increase in variable x leads to a decrease in variable y, which signifies negative linear relationship.
Therefore, the correlation coefficient of graph B will most likely be close to -1.
Question 1: Which of these animals can travel at the greatest distance from sea level
Question 2: order the elevations of the animals from least to greatest
Answer:
Q1 : Ruppell's Giffrons
Q2 :
sperm whales
dolphins
missing birds
Ruppell's Giffrons
Step-by-step explanation:
I don't know if I can see the full picture, as it is clearly cut off.
my answers are based on what I can see :
Giffrons, migrating birds, dolphin and sperm whale.
here are the reasons for my 2 answers :
sea level = elevation of 0 ft. so, this is "point" 0.
Q1 now asks about what of the listed animals can move the farthest away from 0.
and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.
so, we are looking for the animal with the largest absolute value of elevation it can reach.
and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.
Q2 wants us to sort the animals based on their reachable elevations.
by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.
and remember, negative values get actually larger in their absolute values, when we make them smaller.
-2 is smaller than -1.
therefore, the animal that can get the lowest of all here is the sperm whale.
then comes the dolphin.
then the migration birds.
and then the Ruppell's Giffrons.
The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.
The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.
In terms of elevations from least to greatest, the order would be:
Blue Whale - Lives in the ocean at sea level
Mountain Lion - Found in various habitats including mountains and plains
Mountain Goat - Lives in mountainous regions
Brown Spider Monkey - Found in the tropical rainforests at high elevations
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A bank gives a woman personal loan of 120,000. she has to pay back 11,000 every month for a year. find the amount paid back to the bank as interest. pls h help
Multiply the amount she pays a month by number of months in a year:
11,000 x 12 = 132,000
Subtract the total amount she pays back by the loan amount:
132,000 - 120,000 = 12,000
The interest was $12,000
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
the male weigh than the female
Step-by-step explanation:
[tex]\frac{19}{6}[/tex]=[tex]3\frac{1}{6}[/tex]
Please help.............
Answer:
...........
2(x + 2) + 2x = 20
Answer:
x(x+2) = 20
Step-by-step explanation:
Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)
please help me with this!!!!!
Answer:
C. ΔJKL, in which m∠J = 15° and m∠L = 45°
Step-by-step explanation:
To solve, let's find the missing angle of the triangle:
180 - 120 - 15 = 45°
That means a solution should have at least 2 solutions from the solution set (15 , 45, 120)
C, is the correct choice.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
"C"
Step-by-step explanation:
Similar triangles have all the same corresponding angles, and the total must add to 180 degrees. So the original triangle has angle 1 = 15, 2 = 120, so 3 = 180 - (15 + 120) = 45.
Option C has the same angles.
I need points 3+4%34
Answer:
I do too :(
Step-by-step explanation:
Answer:
4.36
i dont really but uh yea
GRAM is a parallelogram with diagonals RM and GA. If RP = x+7 , PA = 2x+18 , and GP = 8x , find RM
Answer:
RM =20
Step-by-step explanation:
Find the diagram of the parallelogram attached
From the diagram, GP = PA
8x = 2x+18
8x - 2x = 18
6x = 18
x = 18/6
x = 3
Since RM = 2RP
RM = 2(x+7)
RM = 2(3+7)
RM = 2(10)
RM =20
Hence the length of RM is 20
Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.
Answer:
When you reflect over the x axis, you change all the y values to their opposites (switch the sign)
Step-by-step explanation:
he perimeter of the figure is given. Find the length of the indicated side.
3x − 3
Perimeter = 14x + 2
The length of the indicated side is .
Answer:
who's he, is it me, cuz id call that a failed abortion
Answer:
I am also stuck
Step-by-step explanation:
A 16 ft ladder leans against the side of a house the top of the ladder is 15 Ft off the ground find x the angle of elevation of the ladder round your answer to the nearest tenth of a degree
Answer:
Step-by-step explanation:
PLEASE HELP ME!
Diagram shows the distance time graph that represent Dendrick's journey Kl to vawang and David s journey from rawang to Kl. Both of them depart from the place at the same time
a) Calculate the length of time in minutes, David stop his car
b) If their journey starts at 9 am, what is the time david and dendrick
c) Calculate the speed in km h¯¹, of Dendrick when he meets David
Answer:
1) 45 minutes
2) they meet in 20 minutes
3) (12-6)/(20/60)=18kmh
please help giving brainly and points :)
Answer:
(-7, 8) across the x-axis: (-7, -8)
(-7, 8) across the y-axis: (7, 8)
Step-by-step explanation:
if f(x)=x2+x and g(x)=x-3, find f(g(7))
f(g(7)) = 20
Hope it helps you...
Vance used the associative property to find the equivalent expression of (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9. His work is shown below.
(4.5 m + StartFraction 7 Over 8 EndFraction) minus 9
Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.
Answer:
C
Step-by-step explanation:
Answer:
C: Yes, the terms can be regrouped and still be equivalent.
Step-by-step explanation:
Most terms can be regrouped and still be equivalent.
What is the least common denominator of the rational expressions below?
12
x2 - 11x +30
43
x² - 6x
A. x(x-5)
B. x(x-5)(x-6)
C. x(x - 5)(x-6)
D. (X-6)
Answer:
D. (x-6)
Step-by-step explanation: Just did it
A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answer:
[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
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It's a quartile question.
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Need help, please
Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?
Answer:
19.5 hrs
Step-by-step explanation:
30 minutes meeting for every 3 hours of work
10 minutes meeting for every 1 hour of work
15 minutes meeting of every 1 1/2 hour of work
3 hours meeting for every 18 hours of work
She spent 19 1/2 hours
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
the annual premium for a Whole Life insurance police is $2,881.61. Option A.
How do we calculate the annual premium for a Whole Life insurance police?For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.
The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.
Annual premium = $162,253/ 1000 x 17.76
= $2,881.61
The above exercises is from the question provided in the picture;
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Permanent Insurance
Age Whole Life 20-Payment Life 20-Year Endowment
M F M F M F
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 $16.91 $14.77 29.11 25.96 37.67 35.30
27 $17.27 15.23 29.97 26.83 38.23 35.96
28 17.76 15.66 30.68 27.54 38.96 36.44
a. $2,881.61
c. $6,321.38
b. $4,977.92
d. $6,438.20
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