If IM is reflected across the x-axis and then translated along the vector <4, 1>, in
which quadrant is the final image?
Answers
Answer:
Final image L"M" will lie in the fourth quadrant.
Step-by-step explanation:
Coordinates of the ends of segment LM,
L → (-3, 4)
M → (-3, 2)
Rule to reflect a point across x-axis is,
(x, y) → (x, -y)
By this rule, coordinates of the image point of L and M will be,
L(-3, 4) → L'(-3, -4)
M(-3, 2) → M'(-3, -2)
Further these image points are translated along the vector <4, 1>
Rule for this translation will be,
(x, y) → (x + 4, y + 1)
Now the image points of the points L' and M' will be,
L'(-3, -4) → L"(-3 + 4, -4 + 1)
→ L"(1, -3)
M'(-3, -2) → M"(-3 + 4, -2 + 1)
→ M"(1, -1)
Therefore, final image L"M" will lie in the fourth quadrant.
Related Questions
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answers
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
In how many ways can you
select 3 books to bring on
vacation from a group of 11
books?
Answers
Answer:
165
Step-by-step explanation:
In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
What is Combination?A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.
According to the question
Select 3 books to bring on vacation from a group of 11 books.
By using combinations formula
[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]
= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]
Cancelling out 8! from denominator and numerator
= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]
= 165
Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
Find out more information about combinations here
https://brainly.com/question/13387529
#SPJ3
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answers
Answer:
Good luck Dude
Step-by-step explanation:
x multiplied by 7 then 18
subtronted form the product
Answers
Answer:
7x - 18
Step-by-step explanation:
x multiplied by seven = 7x
eighteen subtracted from product (7x) = -18
7x - 18
Answer:
7x-18
Step-by-step explanation:
the ans is 7x-18 because x is multiplied to 7 so its 7x
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answers
Answer: 360>5.5+36.41d
Step-by-step explanation:
Name 6 elements of PQR.
Answers
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answers
Answer:
$75
Step-by-step explanation:
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
Answers
breh so listen up
Why do girls, when starting a convo start with- "hey" usually
I mean I don't mind, but then when you try to bring spark they seem hella dry.
Example:
Girl - "Hey"
Boy - "Hey what's good?"
Girl - "Nm you?"
Boy - Pretty lit, when out with my boys recently. You go out places"
Girl - "eh id.k"
Boy *t.f? What she mean id.k....
Boy - "That's cool Quarentine sh.it anyway, you do anything to kill the time doe?"
Girl - "id.k"
Girls Message left on Read
No cap, I end it right there. If you dry, don't waste time. Lol who goes through this?
Stop starting them convos if you aint bout that game bro.
Answers
Answer:
either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answers
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answers
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
Graphing plobem 8th grade. First anserw gets brainest
Answers
Answer: -5 is equal to x
Step-by-step explanation:
This is since you just make y = 0 to solve, so
0=x+5
= -5=x
Answer:
x=-8 and y=2 / x=-5 and x=5
Step-by-step explanation:
put x as 0 to find y
y=1÷4x+2
y=1÷4×0+2
y=0+2
y=2
put y as 0 to find x
y=1÷4x+2
0=1÷4x+2
-2+0=1÷4x
-2=1÷4x
1÷4x=-2
1x=-2×4
x=-8
y=x+5
0=x+5
x=-5
y=0+5
y=5
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.
Answers
Answer:
Step-by-step explanation:
From the information given:
Classes Relative Frequency
0 - < 5 0.176
5 - < 10 0.169
10 - < 15 0.179
15 - < 20 0.139
20 - < 30 0.193
30 - < 40 0.075
40 - < 60 0.040
60 - < 90 0.029
1
(a)
So from above; the proportion of samples that are at least 30° can be computed as:
P(at least 30°) = (0.075 + 0.040 + 0.029)
P(at least 30°) = 0.144
(b)
The proportion of angles between 10° and 25° = (0.179 + 0.139 + 0.193)
= 0.511
(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;
Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.
6. The distribution of misorientation angles is bimodal.
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answers
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
https://brainly.com/question/11487261
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answers
Answer:
follow me please and give thanks
A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.
Answers
Answer:
64in
Step-by-step explanation:
links=8*3=24
compartments + engine=4*8+8=40
40+24=64
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answers
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86
Answers
the answer to your question is C
The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actual length and width.
Answers
Answer: x= 10
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10
Answer:
x=10
L=40
W=20
Step-by-step explanation:
P=2L+2W
120=2(5x-10)+2(2x)
120=10x-20+4x
120=14x-20
14x=140
x=140/14=10
then substitute
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answers
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the
positive x axis.
Answers
Answer: x= -2/3y+5/3
Step-by-step explanation:
Let's solve for x.
3x+2y−5=0
Step 1: Add -2y to both sides.
3x+2y−5+−2y=0+−2y
3x−5=−2y
Step 2: Add 5 to both sides.
3x−5+5=−2y+5
3x=−2y+5
Step 3: Divide both sides by 3.
3x/3=-2y+5/3
x= -2/3y+5/3
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Answers
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
HELPPPPP ME PLEASEEEE
Answers
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
does anyone know how to do this?
Answers
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Out of some students appeared in an examination,
80% passed in English, 75% passed in Science and
5% failed in both subjects. If 300 of them were
passed in both subjects, how many students were
appeared in the examination? Find it by using a
Venn-diagram
(Ans: 500
Answers
Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
6xy^3 * 4x^2y^2 answer
Answers
=
24 x¹+² y³+²
=
24x³ y⁵
evaluate (4x-5)² pls send answers
Answers
Answer =
= (4x - 5)²
= 16x² - 40x + 25
please help me with this question
Answers
Answer:
18
Step-by-step explanation:
Solve: 10 13/15 - 6 2/5 = *
Answers
Answer:4.46666666667
your welcome
Answer:
4 7/15
Step-by-step explanation:
help me out please :(?
Answers
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3