1/(2+i)²
Solve this question....
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
what is 5/4÷1/10? because i don't know what it is
[tex]\bold{Hello~!}[/tex]
What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
✧ ANSWER : [tex]0.125[/tex]☆ EXPLANATION :[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]
[tex]\sf{ 0.125}[/tex]
Hope It Helps!
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[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
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Hello 100 point Question with Explaining please
A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?
Answer:
I believe the price after the markup would be $225.99, I hope this helps! :)
Answer:
Step-by-step explanation:
Increase % = 13%
[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]
Mr.Crane and Ms. Finch are next-door neighbors. They both have beautiful gardens with feeders that attract wildlife. Mr. Crane uses 2 cups of sunflower seeds for evey 6 cups of birdseeds in his feeders. Ms. Finch uses 3 cups of sunflower seeds for every 5 cups of birdseed in her feeders. Whose Feeder has a greater ratio of sunflower seeds to birdseeds?
Answer:
ms finch
Step-by-step explanation:
.
Arrange the following in descending order: 1/5,3/7,7/10
Answer:
7/10 - 3/7 - 1/5
Step-by-step explanation:
3/7-7/10-1/5
Step-by-step explanation:
If LM = 22 and MN = 15 find LN
Answer:
LN = 37
Step-by-step explanation:
The Segment Addition Postulate tells us that LM+MN = LN
Name the property that is illustrated.
1 x 3/4 = 3/4
Answer:
Associative Property of Addition
Can anyone help me with this question?
Answer:
13
Step-by-step explanation:
Since this is a right triangle, you can use the Pythagorean Theorem.
The side y would be the hypotenuse.
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug it in:
[tex]5^{2} + 12^{2} = y^{2}[/tex]
Isolate y:
y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]
Solve:
y = 13
Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.
fence material 268 is your answer..
i just passed my math test that i had no idea how to do :)
i just felt the need to share that for some reason
have a good day/night/afternoon ^^
As long as you believe in yourself, you can do anything.
Answer:
brruhhh
Step-by-step explanation:
What is the value pls help
Answer:
n = 27
Step-by-step explanation:
Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4
So 27π = 27 × π = π × 27
n is 27
I need the answer quick pls. what is the Measure of the base of the area of the triangle is 25ft
Answer:
b = 12.5 ft
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 25 and h = 4 , then
[tex]\frac{1}{2}[/tex] × 4 × b = 25 , that is
2b = 25 ( divide both sides by 2 )
b = 12.5 ft
PLSSS HLEPP ME OUTT ITS URGENTTTT
WILL CHOOSE BRAINLIEST:Directions: From the graph, write the linear equation in slope-intercept form
Answer:
y = -2/3x - 2
Step-by-step explanation:
Picking two points on the line: (0,-2) & (-3,0)
Using the slope formula:
[tex]\frac{x2-x1}{y2-y1}[/tex]
= (0-(-2))/(-3-0)
= 2/-3
= -2/3
y = -2/3x + c
Subsituting (0,-2) into 'y = -2/3x+c':
-2 = 0 + c
c= -2
Hence,
y = -2/3x -2
Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D
Feel free to mark this as brainliest :D
On a scale drawing of a map, two houses are 4 inches apart. The actual distance that they are apart is 30 miles. What is the scale used to create the scale drawing of the map?
Answer:
The map scale is 1 : 475200
Step-by-step explanation:
60% of a mussems fossils are from the jurassic period if the number of fossils from the jurassic period is 15 what is the total of number of fossils ate the musuem ?
The total number of fossils at the museum are, 25
Solve the equation |p − 8| = 4.
Answer:
p (4;12)
Step-by-step explanation:
lp - 8l = 4
---------------
1.
p - 8 = 4
p = 12
---------------
2.
- p + 8 = 4
p = 4
--------------
P: (4,12)
Answer:
P = -6 hope it helps
Step-by-step explanation:
Determine if the system of equations has a unique solution.
3x - 2y + z = 15
2x + 4y + 6z = 30
X - 2y + 4z = 10
A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution
Answer:
C. Linearly Independent, Unique solution
Step-by-step explanation:
x=11/2
y=7/4
z=2
May I please receive help?
Answer:
HG=7 , which would mean that HI =7 and KL = 6 so MK = 6
Answer:
HI = 7 and m ∠K = 100°
Step-by-step explanation:
In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are = and the angles are equal.
So HI = 7
In Δ KLJ, two sides are equal. If two sides of a triangle are equal then the angles opposite those sides are equal.
Now you know that m ∠L = 40°. In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°
In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
[tex]\longmapsto[/tex]The value of "x" is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
A trapezium ABCD in which AB || CD such that
AO = x - 1CO = BO = x + 1OD = x + 4Now,
[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]
[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]
[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]
[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]
[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]
[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]
[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]
[tex]\bf\longmapsto \:x = 5[/tex]
When Grace left Vermont to visit her grandfather in Florida,
the temperature in Vermont was -7°F. When she arrived,
the temperature in Florida was 65°F. What was the
difference between the two temperatures?
A
71°F
B
72°F
C
74°F
D
58°F
Answer:
D.
Step-by-step explanation:
It is simple. Subtract 7* from 65* to get you 58* F.
Let f (x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
f(x)−4 involves translating the graph of f(x) DOWN by 4 units.
4f(x) involves vertical stretching of the graph by a factor of 4.
Simplify the expression (2x^2+6x-7)-(9x^2-11)
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
please help me to solve problems
Step-by-step explanation:
ajhai ans Pani chaiyo ki sabai ko ans pathau
Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.
a. x+60⁰+30⁰=180⁰
x+90⁰=180⁰
x=180⁰-90⁰
x=90⁰
b. x+3x+40⁰=180⁰
collect like terms
4x+40⁰=180⁰
4x=180⁰-40⁰
4x=140⁰
Divide both sides by 4
x=35⁰
c. x+(x+7)+(x+5)=180⁰
3x+12=180⁰
3x=180⁰-12
3x=168⁰
x=168⁰÷3
x=56⁰
d. 52+x+y=180⁰
keeping in mind, two sides of this triangle are equal...
180⁰-52⁰=128⁰
128⁰÷2=64⁰
x=64⁰
x=64⁰ y=64⁰
e. b+a+90⁰=180⁰
right angled triangle
180⁰-90⁰=90⁰
90⁰÷2=45⁰
b=45⁰
b=45⁰ a=45⁰
f. Angles on a straight line equals 180⁰
180⁰-130⁰=50⁰
x=50⁰
Back to the triangle, in which two are equal,
50⁰+x+y=180⁰
180⁰-50⁰=110⁰
110⁰÷2=55⁰
y=55⁰
y=55⁰ z=55⁰
To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
Write an equation representing the pound of clay, c, that jamal from the example needs to make b bowls.
explain how to find the amount of clay jamal needs to make 8 bowls.
Answer:
8=2/3c
Step-by-step explanation:
Each bowl requires 2/3 pounds of clay
To make 8 bowls, Jamal needs 5 1/3 pounds of clay
1. The equation to represent amount is, x= b*c
2. Amount of clay Jamal needs to make 8 bowls is 8c.
What is equation?A mathematical statement that is made up of two expressions connected by an equal sign.
let the amount of clay be x.
The number of bowls be b and c is pounds of clay.
So, Total cost
x= b * c
Now, if number of bowls are 8 then
x= 8*c
x=8c
So, the amount of clay Jamal needs to make 8 bowls is 8c.
Learn more about equation here:
https://brainly.com/question/16255566
#SPJ5
pls help fast no randoms
Answer:
A, D, E
Step-by-step explanation:
Those are your surds because when you square root them they stay in the radical
Answer:
hla shougi
Step-by-step explanation:
Write the slope-intercept form of the equation of the line perpendicular to the
graph of 2x-y=6 that passes through the point (-4,1).
Answer:
12x=4y........................................
how to graph the linear function:
g(x) = -4 + 7x
Answer:
Step-by-step explanation:
Slope: 7/1
y-intercept: (0,-4)
Start in the y-intercept (0,-4). Go up 7 and 1 to the right. You only need two points to trace a line.