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.Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300
Answer:
I think C or D not sure about the question answer
He was earning 3562 each hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kyle Lowry earned $31.2 million.
So, In each month he read
= 31200000 / 12
= $2,600,000
and, in each day she earn
= 2, 600, 000 / 30
=86,666.666
and, in each hour she earn
= 2, 600, 000 / 24
= 3611
Hence, He was earning 3562 each hour.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ5
help lol
The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.
The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.
What is FOIL method?FOIL is the standard method of multiplying two binomials.
The word FOIL is an acronym for the four terms of the product:
First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)We try to explain this using an example.
[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]
Learn more about FOIL method here
https://brainly.com/question/27785127
#SPJ2
in the equation f(x) = 5x + 6,6 is called?
Answer:
the y-intercept
Step-by-step explanation:
Step-by-step explanation:
Since f(x) = 5x + 6 is in the slope-intercept form (y = mx + c), then that would make 6 the y-intercept.
mike drove 10 miles in 30 minutes, what's the average speed in miles per hour
In a standard deck of 52 playing cards, 13 cards are clubs, and 3 of the clubs are "face" cards (K, Q, J). What is the probability of drawing one card that is:
A) A club or a face card? Is this event a union or an intersection?
B) A club and a face card? Is this event a union or an intersection?
C) Not a club and not a face card?
A) This event is a union. If a card is of the suit of clubs or a face card or both, then it belongs to the set of "cards with clubs or a face".
For the probability in question, we use the inclusion/exclusion principle:
P(club or face) = P(club) + P(face) - P(club and face)
That is, we add the probabilities of drawing a club and of drawing a face card, and subtract the probability of both conditions being met because, in a certain sense, we've double-counted the event of the card being both of clubs and a face. The sets "club" and "face" are not disjoint; there is overlap between them.
Then we have
P(club) = 13/52
P(face) = 12/52
P(club and face) = 3/52
so that
P(club or face) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26
B) This event is an intersection. If a card is of the suit of clubs and a face card, then it belongs to both the set of clubs and the set of face cards.
We already found the probability of the intersection above:
P(club and face) = 3/52
C) If a given card is not a club and not a face card, this is the same as saying the card is neither a club nor a face card. In other words,
P(not club and not face) = P(not(club or face))
and this probability is complementary to the probability that a card is either a club or face, which is to say
P(not(club or face)) = 1 - P(club or face)
Using the result from part (A), we have
P(not club and not face) = 1 - 11/26 = (26 - 11)/26 = 15/26
An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
Answer:
The answer is $28.93.
Step-by-step explanation:
Using the butterfly method I got $28.93 as my answer.
$68.89 x 42%= $2,893.38
$2,893.38÷100%= $28.9338
$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.
Answer:
answer is D.
68.89 x .42= $28
Step-by-step explanation:
to get your answer you multiply the numbers.
$68.89 x .42 = $28
your answer is $28.
hope this helps!
please make me brainliest !
I am Stuck on this Math Question on Angles
So there is this math question im stuck on and I was wondering how to solve it and the answer for this problem
The problem consists of two parralel lines and a triangle but there are exterior angles im trying to find the angle of but I simply cannot
I will provide a picture for you guys to see
Thank you and have a good day :)
find the equation with a diameter that has endpoints located at (2,8) and (2,-4)
Answer:
32.4/-4.6 nearest circumfrence :)
Step-by-step explanation:
hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !
Find the perimeter. Simplify the answer
Answer:
10s-14
Step-by-step explanation:
Perimeter of rectangle = 2s+2(4s-7)
= 2s+8s-14
= 10s-14
= > Perimeter of rectangle = 2(l + b)
= > 2(s + 4s - 7)
= > 2(5s - 7)
= > 10s - 14...ans
Step-by-step explanation:
Hope it Helps you!!When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?
Answer:
velocity
Step-by-step explanation:
The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.
The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.
What is a circular motionCircular motion involves not only changes in the object's orientation or direction but also changes in its velocity.
Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.
This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.
Learn more about Velocity
https://brainly.com/question/25905661
#SPJ3
Hi I was wondering if I could get some help with this question please 26POINTS!!
PLEASE HELP
given the parent function f(x)=√x and a new function g(x)=√x+6+3. Select from the drop-down menus to correctly describe the changes on the graph from f(x) to g(x).
The graph will shift 6 unit______and 3 units______.
choices:up up
down down
left left
right right
Answer:
The graph will shift 6 unit left and 3 units left
Step-by-step explanation:
[tex]g(x) = \sqrt{x+6+3}[/tex]
A size 8 kids shoe measures 9 2/3 inches. if 5 size 8 shoes are lined end to end, then bow many inches will they cover?
Answer:
48 1/3 inches
Step-by-step explanation:
Each size 8 shoe measures 9 2/3 inches. If we line 5 of them together, the length of the entire thing will be 5 times the size of each shoe, 9 2/3 in. To write 5 as a fraction, put it over a denominator of 1. Then rewrite 9 2/3 as an improper fraction. Now you can multiply across and simplify as needed.
Answer:
the person below is correct
Step-by-step explanation:
hope this helps have a good rest of ur night :)❤
Where do we use order of operations in real life.
Answer:
In math, order of operations helps you find the correct value for an expression. Order of operations matters in daily life.
Step-by-step explanation:
For example
Engineering
Cooking
Chemistry
Are some explanations of where you may need this skill in real life.
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
B
Step-by-step explanation:
What is the slope of the following line, y = -5x+4
Answer:
the slope is -5x
Step-by-step explanation:
y=mx+b
m= slope
b= y-int
x= vairable
y= answer
A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.
The equation is y = 0.5x and the slope is 0.5.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]
Therefore the equation is y = 0.5x and the slope is 0.5.
Find out more at: https://brainly.com/question/21835898
The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c
The slope = m
The duration after which the farmer measures the average height of her tomato = x weeks
The average height of the tomato plant after x weeks = y
For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear
This means that the average height of the tomato will be represented by a linear equation as shown below
y = mx + c
The slope of the equation is m
Learn more here: https://brainly.com/question/25759076
solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
Esitmate 242 PLEASEEEEEEEEE I NEED THIS
Viable what is the definition
Answer:
capable of working successfully; feasible.
or
Step-by-step explanation:
(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.
Tim needs a total of $499 to buy an ipad. He has $187. How much more money does he need to save to buy the Ipad?
Answer:
312
Step-by-step explanation:
499-187
Answer: Tim needs to save $312 more.
Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>
3. Daysmir is solving the inequality 15 - x < 14. He knows the solution to the equation
15 - x = 14.
How should Daysmir determine whether x > 1 or x < 1is the solution to the inequality
and which solution set is right?
Answer
ask a teacher
Step-by-step explanation:
if you want to learn the anwer it hard for me to exlpain but if you ask the teacher she will explain to you more better then i will
is it correct?
or not
#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:
Two thousand four hundred sixty-three tickets were sold for a 2-day basketball
tournament. For the first day of the tournament, 1,087 tickets were sold. How many
tickets were sold on the second day of the tournament?
Answer:
Step-by-step explanation:
1376!
Answer:
yeah it's 1367
Step-by-step explanation:
I did the math!!!!
HELP PLEASE!!!! FASTT
Answer:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
This is not a function
Step-by-step explanation:
Domain (-3,-2,-1,0,1,2)
Range (-2,0,1,2,3)
one x-value with two y-values, (-1, 2) and (-1, -2)
not a function
Plotting the graph should be easy
left side are x-values
right side are y-values
types of vertical mirrors
Answer:
Rectangle.
Round.
Arched.
Novelty.
Square.
Oval.
Octagon.
Sunburst.
Hope this is what you're looking for :)
Brainliest please
linear equations
1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2
math need helps i will brainliest
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
13 9/10 divided by 3 1/2
Answer:
[tex]3 \frac{13}{44} [/tex]
Step-by-step explanation:
First let's write our equation
[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]
Now let's make them improper fractions
[tex] \frac{139}{10} \div \frac{7}{2} [/tex]
Now since we're dividing we with fractions we do the reciprocal and multiply
[tex] \frac{139}{10} \times \frac{2}{7} [/tex]
or
[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]
your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.
Answer:
Step-by-step explanation:
y=.02x+9 - First Part
y=.05x - Second Part
