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.Can someone please help with question 7
Answer:
EEEEZZZZZ 6.708203933
Step-by-step explanation:
Answer:
6√2
12
Step-by-step explanation:
How do I do this? I’m confused
Is 4 16/18 simplified and what is the simplified version
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5°F −8°F −6°F −8°F −3°F 2° F 7° F
What is the average low temperature for the week?
-3^F
Hope this helps!!
need help asap MIDSEGMENTS
will give BRAINLIEST
Answer:
ggggggggggggggggggggggggggggggg
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
Which of the following is a run on sentence
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
Find the slope of the line.
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
#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:
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 :)
What is the slope of the function?
m=
What is the y-intercept of the function?
b=
Which equation represents the graph of the function?
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
The figure shows three parallelograms: ABCD, A'BCD, and A"B"C"D".
Polygon ABCD is ___ to create parrellogram A’B’C’ D’
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
Second blank: D and A
Step-by-step explanation:
Answer:
-Polygon ABCD is rotated 270 degrees clockwise about the origin to create parallelogram A'B'C'C'.
-Polygon ABCD is rotated 90 degrees clockwise about the origin to create parallelogram A"B"C"C".
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,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5
Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ3
How do you evaluate (x+3)2 ?
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
10. Andrew Galen had a checking balance of $1.39 Monday morning. His net wages
of $512.89 were transferred by direct deposit at 11:00 a.m. to his checking
account. Later that evening, Andrew made online payments of $3.24, $18.30,
$38.96, $100.34, and $314.78. His goal is to keep only a $10 balance in his
checking account and have most of his money in savings. How much money
was available in Andrew's checking account to be transferred to savings after
all the transactions were completed?
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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Learn more about this topic:
What is Probability in Math? - Definition & Overview
from
Chapter 24 / Lesson 7
49K
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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What are the slope and the y-intercept of the linear function that is represented by the graph?
Answer:
Slope = -3/4
Y-intercept = (0, 3)
Step-by-step explanation:
Rise/Run
-3 Rise and 4 Run
Meets y-axis at y=3. x=0, so (0, 3).
Answer:
y intercept is 3 and the slope is -3/4
Step-by-step explanation:
the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4
Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour
Answer:
there
Step-by-step explanation:
1
please help question 20 due on monday
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
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.
if an angle is bisected to form two new 39° angles, what was the measure or the original angle
Answer:
78°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
78°
Step-by-step explanation:
39 × 2 = 78
--
Bisected - Divided into two parts.
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
30233088 in index form
Answer:
3.0233088 x 10 raise to power 7
Is -2g/4h a monomial number
Yes, because it only has a single expression, although the division sign might not count….
What is the order of operations in math.
Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
Answer:
m = -8/5
Step-by-step explanation:
[tex]m=\frac{-9-7}{8-(-2)} =\frac{-16}{10} =-\frac{8}{5}[/tex]
Hope this helps
write a division expression that has a negative solution.
Answer:
3/-3=-1
Step-by-step explanation:
any number divided by a negative number gives a negative answer
can you guys help me
5x3+7=50? this is g.e.m.d.a.s
Answer:
It's 27
Step-by-step explanation:
5x3 = 15 + 7 =27
Please help! Thanks!! :)
Answer:
67
Step-by-step explanation:
We plug the 7 for x and -4 for y.
The equation is 9x-y.
So it becomes; 9(7)-(-4)
This will simplify to; 63+4
Which is 67, your answer.
67 is the answer bro good luck