(a + b)(a - b) = a^2 - b^2
1. Multiply the numerator and the denominator by the complex conjugate of the denominator.
2. Simplify the results into the real part and the imaginary part.
Divide the complex numbers. Show all work.
Answers
Answer:
Step-by-step explanation:
hello : given z = (-6-10i)/(4+7i)
the complex conjugate of the denominator is : 4-7i
1. Multiply the numerator and the denominator by the complex conjugate of the denominator: z = (-6-10i)(4-7i)/(4+7i)(4-7i)
use identity : (a + b)(a - b) = a² - b² calculate the product : (4+7i)(4-7i)
(4+7i)(4-7i) = 4² -(7i)² =16 -49i² =16+49 = 65..... ( i² = -1)
2) Simplify the results calculate the numerator : (-6-10i)(4-7i)
(-6-10i)(4-7i) = -24+42i -40i+70i² = -24+42i -40i-70 .....( i² = -1)
(-6-10i)(4-7i) = -94+2i
now : z = (-94+2i )/65 = (-94/65) +(2/65) i
the real part is : ( -94/65) and the imaginary part is : 2/65
Related Questions
Find the area of this shape
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Which statement is true for the equation 4x - 4x - 5 = -5? (5 points)
1) It has no solution.
2) It has one solution.
3) It has two solutions.
4) It has infinitely many solutions.
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Answer:
4)it has infinitely many solutions
someone help me i don’t understand this !
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Answer: put it in the calculator with the () and they will give it to you right like you need it
Step-by-step explanation: :)
Answer:
I help you
Step-by-step explanation:
I help you _GUTI_ discord
please help i am providing all necessary info i will give brainliest
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Answer:
Step-by-step explanation:
the virus test seems bad. 2 that were positive got away :0 they would continue to spread the virus and the world would be taken over by Zombies :/
plz help what is the slope of this line shown?
Answers
Answer:
slope= -3
Step-by-step explanation:
i hope this helps :)
(15 point) Which set of ordered pairs are solutions to the equation y = 10x?
Answers
Answer:
Blue, yellow and green.
Step-by-step explanation:
PLEASE HELPPPPPPPPPP
Answers
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
answer this question for brainilest and 20 points
Answers
Answer:
x = 5, y = 4
Step-by-step explanation:
Solve for one variable. x will be simpler using the second equation.
3x = 15
Divide by 3.
x = 5.
Now put that into the other equation.
4x + 5y = 40
Substitute variable.
4(5) + 5y = 40
20 + 5y = 40
Subtract 20 from both sides.
5y = 20
Divide by 5.
y = 4.
Please help !!!!!!!!!
Answers
Answer: (4,-4)
Step-by-step explanation:
(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining
Can you form a parallelogram by drawing a triangle and then reflecting one or more times? Explain.
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Answer:
please give me brainlist and follow
Step-by-step explanation:
No. It is not possible to reflect a triangle in such a way that the result is quadrilateral with any consecutive sides that are congruent.
PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.
Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.
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Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.
Please help !! 10 pts!!!!
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Y = 8000/1000= 8
Y= 8*20
Y= 160
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Answer:
the top one is posable oucomes and the the bottom is the other on
Step-by-step explanation:
Answer:
1 fav
2. possible
Step-by-step explanation:
NO links or report
Find the area of the figure
Area ___ units^2
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Answer:
25 units^2
Step-by-step explanation:
Find the slope of the line that passes through (-1,-4) and (3,5) Label the coordinates in the boxes
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Answer: 2.25 or 2 1/4 or 9/4
y2 - y1 / x2 - x1
5 - (-4) / 3 - (-1)
9/4
2 1/4
Please help and NO LINKS I WILL REPORT
An angle measures 7/9ₙ radians. What is the degree measure of the angle?
A.) 2.44°
B.) 140°
C.) 280°
D.) 439.6°
Answers
Answer:
B. 140 degrees
Step-by-step explanation:
Edge 2020
What are the coordinates of the point labeled A in the graph shown above?
Question 4 options:
A)
(–2, 4)
B)
(2, 2)
C)
(–2, 2)
D)
(2, –2)
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Answer:
The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and point C is in coordinates (-2,4).
Answer:
i need a picture
Step-by-step explanation:
i cant see anything im not gonna be able to answer this
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answers
Answer:
1.5
Step-by-step explanation:
To find out the gradient (or the slope), we can use the formula
Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.
Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)
Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.
Feel free to ask any doubts you may have.
Hope this helps! :D
help please i will mark brainliest
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Answer:
The answer is 8.66054037 as a decimal. It's asking for a root though.
Step-by-step explanation:
please someone answer this, “what is the area of triangle ABC?”
Answers
Here's the solution,
The given triangle is an equilateral triangle, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
[tex] \dfrac{ \sqrt{3} }{4} {a}^{2} [/tex]
where,
a = 8 ( side measure )=》
[tex] \dfrac{ \sqrt{3} }{4} \times 8 \times 8[/tex]
=》
[tex] \sqrt{3} \times 16[/tex]
=》
[tex]16 \sqrt{3} \: \: \: cm {}^{2} [/tex]
or
=》
[tex]27.71 \: \: cm {}^{2} [/tex]
hey another one so sorry T^T
Answers
Answer and Step-by-step explanation:
-6 and -10 are the answers.
This is because these numbers are less than -5, so they would work when plugged in for h in the inequality.
#teamtrees #PAW (Plant And Water)
Answer:
-6 and -10
Step-by-step explanation:
-6 and -10 are both less than -5, hope this helps :)
I had $370 my mother gave me $150 my father gave me $150 my aunt and uncle gave me $ 100 and I had another $30. How much did I have?
Answers
Answer:
370+150+150+100+30=800
Step-by-step explanation:
One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?
Answers
Experimental Probability = 2/3
To find the experimental probability that the tack lands point-up for student 4, we can use the following equation
[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]
If this helped you a Brainliest would be appreciated!
Answer:
0.75
Step-by-step explanation:
Hey can you help me fast!!
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Answer:
$35.00
Step-by-step explanation:
Add the exacted prices of the five books together.
5.99 + 6.00 + 6.45 + 7.75 + 7.99 = 34.18
The number closest to 34.18 on the list of choices is 35.00.
Have a nice day :)
A company logo is shaped like an equilateral triangle with 3-inch long sides. What is the height of the logo? Round to the nearest tenth.
Answers
Answer:
about 2.6 in.
Step-by-step explanation:
[tex]h=\frac{s\sqrt{3}}{2}\\\\h=\frac{3\sqrt{3}}{2}\\\\\frac{3\sqrt{3}}{2}\approx2.6\\\\h\approx2.6[/tex]
1
1. Triangle ABC was dilated with the origin as the center of
dilation to create
아아하하
2
1
Which rule best represents the dilation that was applied to
Triangle ABC to create 4BC'?
A (Xy) - (x + 2 y + 2) C. (x, y) - (2x2)
B. (x, y) = (x-2y + 2) D. (x, y) - (x %
Y)
ОА
OD
Answers
Answer:
f=A%27(-0.25%2C0.75)%5C%5C%5C%5CB%27(1.75%2C-0.25)%5C%5C%5C%5CC%27(-1%2C-0.25)
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case you know that the triangle ABC was dilated by this scale factor:
With the origin as the center of dilation.
Since:
It is a Reduction.
You can identify that the vertices of the triangle ABC are:
So you need to multiply the coordinates of each vertex of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get:
Please help me with this question
Answers
Answer:
If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.
–v^2 + 4v − 1 = 0
Solve using the quadratic formula
what do I do?
Answers
Answer:
The quadratic formula is ax^2+bx+c=0.
The exact answer to this is v = 2 ± √ 3
Step-by-step explanation:
picture too 1st question:
Answers
Answer:
6 gallons and 2 pints
Thank for posting the pic, it makes sense now!
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950
Answers
Answer:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Step-by-step explanation:
Calculation to determine the sequences that describes his increasing monthly balance
Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.
First sequence will be the amount he owes on a credit which is $950
Second sequence
950 * .018 = 171.00
950 + 171.00 = 1121.00
Third sequence
1121.00 * .018 = 201.78
1121.00 + 201.78 = 1322.78
Fourth sequence
1322.78*0.18=238.10
1322.78+238.10=1,560.88
Last sequence
1,560.88*0.18=280.96
1,560.88+280.96=1,841.84
Therefore the sequences that describes his increasing monthly balance are:
950, 1121.00, 1322.78, 1,560.88, 1,841.84