Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?
Answer: France
Step-by-step explanation:
50 points and brainliest to first correct answer. And NO LINKS. Ty :)
If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line E prime F prime?
Square ABCD is shown with line EF running horizontally through the center of the figure.
Question 2 options:
line E prime F prime is perpendicular to line EF.
line E prime F prime is parallel to line EF.
line E prime F prime intersects with point B′.
line E prime F prime passes through the center of dilation.
Go here to see the image (it wouldnt let me attach it). The answer on this one doesnt seem right so someone pls give correct answer :)
https://brainly.com/question/24244927
Is this the question below if it is the answer is..
Answer/Step-by-step explanation:
line E prime F prime passes through the center of dilation.
A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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The figure shows three parallelograms: ABCD, A'BCD, and A"B"C"D".
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Polygon ABCD is ___
to create parallelogram A’’B'’C'’D".
A. reflected off y axis
B. rotated 90 degrees clockwise without origin
C. reflected across x- axis
D. rotated 270 degrees clockwise about the origin.
Answer:
First blank: B and C
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Step-by-step explanation:
Answer:
-Polygon ABCD is rotated 270 degrees clockwise about the origin to create parallelogram A'B'C'C'.
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can you guys help me
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Answer:
It's 27
Step-by-step explanation:
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[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
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There's not much to say about this, but I can answer questions if you have any.
Andrew is counting the total calories in his breakfast. He knows that a bowl of his favorite cereal with milk has 200 calories. He also likes to drink a fruit smoothie with his cereal. Each ounce of the smoothie adds 25 calories. Which graph represents the total calories, y, in Andrew's breakfast if he drinks x ounces of fruit smoothie with his cereal?
Answer:
See Graph below
Step-by-step explanation:
I hope this helps anyone who needs it :)
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Answer:
3.0233088 x 10 raise to power 7
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Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
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-3^F
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EEEEZZZZZ 6.708203933
Step-by-step explanation:
Answer:
6√2
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Step-by-step explanation:
Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
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5p + 3 = 15
Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
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5p + 3 = 15
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B.
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there
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1
Please help! Thanks!! :)
Answer:
67
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67 is the answer bro good luck
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C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
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Answer:
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Step-by-step explanation:
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78°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
78°
Step-by-step explanation:
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--
Bisected - Divided into two parts.