Answer:
" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."
Step-by-step explanation:
Transformations can be written as operators that act on functions or shapes.
For example, we can define the horizontal translation operator as:
T(k)
And if we apply this to a function, we get:
T(k)[ f(x) ] = f(x - k)
Now, the operators are not necessarily commutative.
This means that if we have two operators:
K and L
is not the same:
K[ L[ f(x) ]]
than:
L[ K[ f(x) ]]
An example of this can be a reflection across the y-axis and a horizontal translation, that composition is non-commutative.
Now, let's go to our case.
A glide reflection is commutative, so we can perform the transformations in any order, then the statement is:
" a glide reflection IS commutative. Therefore, the line reflection and translation can be done in any order."
The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
A.)(0.24, 0.48)
B.)(0.30, 0.42)
C.)(0.22, 0.50)
D.)(0.20, 0.52)
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
I will give brainlest please help
The center of the circle would be (5,-8)
This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:
(x-5)^2+(y+8)^2 = 121
The center would be (5,-8), since there is (x-5) and (y+8).
The radius of the circle would be 11
This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:
(x-5)^2+(y+8)^2 = 121
By doing √121, you would get 11 as the radius.
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours per week, how much more will Avery be making than before her 15% raise?
A.$15.00
B.$280.00
C.$84.00
D.$116.00
Answer:
C) $84
Step-by-step explanation:
40 x 14 = 560
she made $560 prior to raise
14 x 1.15 = 16.10
her new hourly rate is $16.10
40 x 16.1 = 644
she now earns $644 per week
644 - 560 = 84
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
the answer? wowisoososksks
Answer:
1/6
Hope that this helps!
A math teacher noticed that 70% of seventh graders completed an extra credit assignment. About how many of 130 seventh graders would complete the extra credit assignment?
Answer:
91 students
Step-by-step explanation:
130 x 70% =91
Answer:
91 students
Step-by-step explanation:
so we are looking for 70% of 130
so we do the following:
130*.70
91 students
x^2 + y^2 =-6x-14-6y
Answer:
x=−3+√(−y−1)(y+5)
Step-by-step explanation:
thats if your solving for x if not to math w l ay
Write the number in positive exponent form:
2 x 2 x 2
Answer:
the answe is 2^3
HELP ASAP!! Click the picture to make it bigger
:)
thanks
Answer:
the answer is C.
Step-by-step explanation:
Carry a book bag: Female is 57
Solve for j jj. j − 2 + 7 = − 12 −2 j +7=
Answer:
j= -10/3
Step-by-step explanation:
j - 2 + 7 = - 12 - 2j + 7
*add -2 and 7 to get 5
j + 5 = -12 - 2j + 7
*add -12 and 7 to get -5
j + 5 = -5 - 2j
*add 2j to both sides
3j + 5 = -5
*subtract 5 from both sides
3j = -10
*divide both sides by 3
j= -10/3
Which of these are the constant?
4y+1+9x
Answer:
1 is the constant
Step-by-step explanation:
what is the area of the figure below
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6)(8-5)[/tex]
= 9 in²
Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]
= [tex]\frac{1}{2}(6+4)(5)[/tex]
= 25 in²
Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
261,000
261,000
2,351,000
2,351,000
18,810,000
18,810,000
41,210,000
Answer:
2,351,000
Step-by-step explanation:
closest to the volume in cubic feet
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
Write the equation of a line that goes through the points (2, -2) and (1, -8)
show work i will appreciate it
Answer:
y=6x-14
Step-by-step explanation:
m=-8-(-2)/1-2
m=-8+2/1-2
m=-6/-1
m=6
y-y1=m(x-x1)
y-(-2)=6(x-2)
y+2=6x-12
y=6x-2-12
y=6x-14
Help please anyone ?!
Answer:
.62
Step-by-step explanation:
first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.
Solve using Elimination
[tex] \huge \: Answer࿐[/tex]
The values are :
x = 4y = -2A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun
Answer:
Lunar Eclipse
Step-by-step explanation:
Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.
can someone please help
question: An airplane is flying at an elevation of 1500 feet. What is the airplane's angle of elevation from the runway when it is 5000 feet from the runway?
Answer:
Angle of elevation of the airplane = 17.46 degrees
Step-by-step explanation:
From the picture attached,
An airplane is flying at an altitude of 1500 ft at point A.
Runway starts from point B from which distance of the airplane is 5000 ft.
Now we apply sine rule in the given triangle ABC to measure the angle θ.
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sinθ = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{1500}{5000}[/tex]
[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]
[tex]\theta=17.46[/tex] degrees
the graph shown is not a function because points (-1,2) and (fill in the blank) have the same x value
For a graphed line to be a function it needs to pass the vertical line test.
If a vertical line goes through the graphed line in more than one x axis then it is not a function.
Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point (-1,0)
Answer: (-1,0)
PLEASE HELP ASAP!!!
Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.
○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem
The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.
Here is your answer ^^
----------------------------------
C≈25.13cm
Explanation:
C=2πr
d=2r
Solving for C:
C=πd=π·8≈25.13274cm
-------------------------------------
Anyways bye! <3
how can you find the area of a composite figure
A bookstore costs $75 a day to keep open, and spends $10 for each book it
sells. The store charges $15 for each book it sells. If n represents the number
of books sold, which equation represents the revenue function for this
bookstore?
A. r= 15n
B. r= 25n
C. r= 10n
D. r= 75n
Answer: A. r= 15n
Step-by-step explanation: took the quiz.
The solution is, The cost function of this bookstore is 10n + 75.
What is cost function?A cost function is a formula used to predict the cost that will be experienced at a certain activity level.
here, we have,
According to the given problem,
Cost to open bookstore for a day - $75
Price for selling each book = 10
Considering number of books to be n,
Total cost for selling each book = $(10×n)
Therefore total cost price = $( 10n + 75)
Hence, we can conclude that the total cost function of this bookstore is represented by equation 10n + 75
Learn more about cost function here:
brainly.com/question/23313575
#SPJ5
r s + 14s when r=6 and s=1/4
pls pls pls help me I will give brainlist pls
Choose Yes if the capital letters are used correctly.
Choose No if capital letters are used incorrectly.
Who will win the election for President in november?
Group of answer choices
Yes
No
Timmy Johnson used to be a police officer. Now he is working for the company Bellsouth.
Group of answer choices
no
yes
John anounced on monday that he wants to be the new mayor of Dallas. He will have to campaign hard because the mayor we have now has been in office for many years.
Group of answer choices
yes
no
My father said he would vote for Tom. I believe the only reason that he said this is because Tom is his brother. He really isn't qualified to be the mayor.
Group of answer choices
no
yes
My family went on a long hike on the appalachian trail. We thought we would be finished in s couple of hours, however my sister sprained her ankle and we had to take it slow.
Group of answer choices
yes
no
There will be a voting booth set up at Northside elementary.
Group of answer choices
yes
no
Every Spring they put out new flower seeds so the Park is beautiful.
Group of answer choices
no
yes
I hope our new mayor will do something about all the trash on the sides of the roadways. When I am traveling down Main Street, I am in shock at what I see. I just wish people would care more about this and would help to keep our roads clean of trash!
Group of answer choices
no
yes
The River is full of chemicals that are very harmful.
Group of answer choices
yes
no
I'm glad our drinking water doesn't come from the Raven River. Some people say that this river is the dirtiest river east of the Mississippi.
Group of answer choices
yes
no
In later Summer, the sunflowers are gorgeous.
Group of answer choices
yes
no
After examining our dog, the Veterinarian said, "He looks healthy and strong to me." I grabbed spot and gave him a mighty hug. my mom was happy too. We thought for sure he was going to have to stay overnight.
Group of answer choices
yes
no
"Watch out!" yelled Monica.
Group of answer choices
no
yes
"When are we leaving?" Joe asked. Mom replied, "As soon as we can load up the car, Joe."
Group of answer choices
yes
no
Kyle practiced his pitching all Winter. He wanted to make the team with his best friend, Tom.
Group of answer choices
no
yes
Answer:
NoyesyesyesNo.yesNoyesNo.yesNoNoYesYesNoThese are the answers according to serials.
Which graphs are functions ( select all that apply
Answer:
The second and third option are both functions!!
Glad to help!!
Step-by-step explanation:
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza leftover.
Step-by-step explanation:
2 7/12 + 2/3 = 3 1/4
4 - 3 1/4 = 3/4
so 3/4 of 1 pizza is left.
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing
Answer:
1 inch = 3 feet
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
6 /2 = 3
1 in = 3 feet