Answer:
[tex]\frac{4}{17}-\frac{19}{34}i[/tex]
Step-by-step explanation:
1. Approach
To divide complex numbers, first one must set the problem up as a fraction. The one will multiply the fraction by the complex conjugate. A complex conjugate is a complex number with the imaginary part multiplied by negative one. Since a number over itself equals one, this will ensure that the expression remains true. When one multiplies by the complex conjugate, the difference of squares property complex into play, therefore the denominator simplifies down to a real number (remember one can simplify the powers of (i)). Now all one has to do is divide each element in the complex number in the numerator by the real number in the denominator. If it does not divide evenly, one can just simply the fraction.
2. Solving
Set up as a fraction
[tex]\frac{3-4i}{8+2i}[/tex]
Multiply by the complex conjugate
[tex]\frac{3-4i}{8+2i}*\frac{8-2i}{8-2i}[/tex]
Simplify
[tex]\frac{(3-4i)(8-2i)}{(8+2i)(8-2i)}[/tex]
[tex]\frac{24-6i-32i+8i^{2}}{64-4i^{2}}[/tex]
[tex]\frac{24-6i-32i-8}{64-4(-1)}[/tex]
[tex]\frac{16-38i}{64+4}[/tex]
[tex]\frac{16-38i}{68}[/tex]
[tex]\frac{8-19i}{34}[/tex]
8.15 = e + 6* the answer would be E=2.15 right if it’s not plz correct me if I’m wrong
can somebody help me with this homework?
Answer:
121.1/1.6%
Step-by-step explanation:
subtarct the given numebrs to get 121.1
Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%
Hope this helps and makes sense
What is the length of side c?
13cm
5cm
с
C=
cm
The answer should be 18 centimeters
If i am wrong I am sorry
The third leg of the right-angle triangle will be 12 cm.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The hypotenuse of the right-angle triangle is 13 cm and the perpendicular of the right-angle triangle is 5 cm.
Then the measure of the third side (B) of the right-angle triangle will be
13² = 5² + B²
169 = 25 + B²
B² = 169 - 25
B² = 144
B = 12
Thus, the third leg of the right-angle triangle will be 12 cm.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help
Question
The specifications for a laptop computer describe its screen as measuring 15.6 in. However, this is actually
the length of a diagonal of the rectangular screen, as represented in the figure. How wide is the screen
horizontally, to the nearest tenth of an inch?
Answer:
13.6
Step-by-step explanation:
I got it right
4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5
Options c and d are correct.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
What is solution for inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
According to the given question
We have an inequality
3x - 5 > 4x - 3
⇒ 3x - 4x > -3 + 5
⇒ -x > 2
⇒ x < -2
Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.
Learn more about the inequality here:
https://brainly.com/question/20383699
#SPJ2
Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?
$___
================================================
Work Shown:
35% = 35/100 = 0.35
35% of 2000 = 0.35*2000 = 700
Since the card increased by 700 dollars, this means the card is now worth 2000+700 = 2700 dollars.
Please help for instant brainliest.
Answer:
(8, -1)
Step-by-step explanation:
its the point of intersection
Answer:
D
Step-by-step explanation:
the following lines meet up at the poitn (8,-1) which is to answer d
hope this helps
can you find the measure of b plz
Answer:
b=53 degrees
Step-by-step explanation:
90 degrees - 37 degrees = 53 degrees
.cuál es el resultado de 3.15+2
Answer:
3.15+2=5.15
The answer is 5.15.
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST
Pls help I’ll brainlest ASAP and add extra points
Answer:
3 to 6 making 9 multiply by 4 giving 36
add 3 by 4 = 36
same
lmk of u hv questions
Find the number that belongs
in the green box.
Round your answer to the nearest tenth.
Answer:
24.2
Step-by-step explanation:
There is but one answer to this. It appears below.
Let's try it out and see what happens. We'll do it the way it sits.
Sin 40/8 = sin(x) / 7 Multiply both sides by 7
7* Sin(40) / 8 = sin(x)
Sin(40) = 0.6428
7 * 0.6428 / 8 = sin(x)
.56245 = sin(x)
x = sin-1(0.56245)
x = 34.23
Rounded to the nearest tenth, it is 24.2
Answer: 34.2
Step-by-step explanation:
Hope this helps!
Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?
Answer:
30
Step-by-step explanation:
There are 3 days, and 10 movies.
3 x 10 = 30
HELP ME PLEASE I DO NOT KNOW THIS! WILL GIVE BRAINLIEST
Answer:
8 is the answer
Step-by-step explanation:
Pls mark me the brainliest ☺☺
Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.
What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²
Answer:
314.16 in²
Step-by-step explanation:
Answer:
[tex]A[/tex] ≈ [tex]314.16[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A = \pi (10)^2[/tex]
[tex]A = \pi (100)[/tex]
[tex]A[/tex] ≈ [tex]314.16[/tex]
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
the ratio of the angle measures of a triangle are 3:3:4 what angle measures the triangles classification
Step-by-step explanation:
sum of the ratio=3+3+4=10
now,
angle I = 3/10×180=54
angle II= 3/10×180=54
angle III=4/10×180=72
that shows th given triangle is isoceles
Find the value of x.
12
12
x = [?]
Step-by-step explanation:
step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.
step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.
step 3. The lower segments are identical to the upper segments.
step 4. therefore x = 11(2) = 22.
Help me out plz geometry
Answer:
45°
Step-by-step explanation:
divide 90 by 2 see there is a right angle between them
First down = 25 yards.
Ball moved 6 yards closer = 25 - 6 or 19 yards.
Then 10 yards away = 19 + 10 or 29 yards.
Then 8 yards closer = 29 - 8 or 21 yar
This is the question.
At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?
Sylvia has $30 to spend on three gifts she spent 11 9/10 the dollars on gift a and 4 3/5 dollars on gift b how much money does she have left for gift c
Answer:
$13.50
Step-by-step explanation:
30 - (11.90 + 4.60) = 30 - 16.50 = 13.50
How do I do simple fractions
Answer:
i forgot just look it up that is what i do sometimes i look up videos
Step-by-step explanation:
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answer:
It's B but read the other person's explanation it's better than mine would be
Step-by-step explanation:
Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how old is Jennie to which Jennie replied “In two years I will be twice as old as I was three years ago”. How old is Jennie?
A utility line runs underground through Ursula's rectangular backyard. Ursula is not allowed to dig within 4 feet of the utility line. The diagram below shows the dimensions of Ursula's backyard in feet. The dashed line represents the utility line.
Answer:
it's 272 feet square because if it is the area then you can dig it
A = bh
A = 22(17) -6(17)
A = 272
Marc sold 425 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $1925. How many adult tickets and how many student tickets did Marc sell?
ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale
it’s 63 because the sides are equal on both sides
For the sequence defined by a1=2
An+1=5/an-4
Answer:
i thnk is 239.213
Step-by-step explanation:
