2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and
the adjacent flagpole onto the other short rectangular bench and flagpole.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
Let the bench be B and the flagpole be T.
So:
[tex]B = (0,10)[/tex] --- given
The flagpole is represented by the triangular shape labelled T.
So, we have:
[tex]T = (6,9)[/tex]
See attachment for the rectangular bench and the flagpole
From the attached image, the location of the other bench is:
[tex]B' = (0,-10)[/tex]
And the location of the other flagpole is:
[tex]T' = (-6,9)[/tex]
So, we have:
[tex]B = (0,10)[/tex] ==> [tex]B' = (0,-10)[/tex]
[tex]T = (6,9)[/tex] ==> [tex]T' = (-6,9)[/tex]
When a point is reflected from [tex](x,y)[/tex] to [tex](x,-y)[/tex], the transformation rule is reflection across x-axis.
So the rigid transformation that takes [tex]B = (0,10)[/tex] to [tex]B' = (0,-10)[/tex] is: reflection across x-axis.
When a point is reflected from [tex](x,y)[/tex] to [tex](-x,y)[/tex], the transformation rule is reflection across y-axis.
So the rigid transformation that takes [tex]T = (6,9)[/tex] to [tex]T' = (-6,9)[/tex] is: reflection across y-axis.
Related Questions
simplify log(16x²) ± 2㏒(1÷×)
Answers
Answer: just simplify condense it then your answer will be log(16)
The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?
Answers
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks
HELP
I WILL GIVE YOU BRAINLIEST
Give the solution to this quadratic.
y = 3(x-1)^2
Answers
Answer:
y=3x^2-6x+3
Step-by-step explanation:
Which scenario would most likely show a negative association between the variables? A. the height of a tree and the amount of time it takes to climb to the top of the tree
B. the number of people in the mall and the number of cars in the parking lot
C. miles traveled in a car and the amount of gasoline used
D. time spent reading a book and the number of pages left to read
Answers
Answer: i would say B because it makes the most sence
Step-by-step explanation:
What percentage of videos on the streaming site are between 264 and 489 seconds? 0.15% 49.85% 95% 99.7%
Answers
Answer:
49.85%
Step-by-step explanation:
Streaming is defined as sending and receiving an video or an audio content in continuous flow over any network. It allows one to begin the playback and while it sends the rest of the data.
In the context, the percentage of the videos on a streaming site that is between 264 and 489 seconds is 49.85% which is found by a graph where the distribution of the lengths of the videos in seconds on a popular video streaming sites.
Help ASAP please!!!!!
Answers
51in
Step-by-step explanation:
15x5=75
8x3=24
75-25=51
Answer:
hi
Step-by-step explanation:
the area of the little rectangle:
3 in × 8 in= 24 in
tge area of the shaded ragion:
5in × 15in =75in
75in - 24 in=51 in
hope it helps
have a nice day
A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?
Answers
Answer:
Perimeter of pizza slice = 27.85 inches (Approx.)
Step-by-step explanation:
Given:
Diameter of pizza = 20 inches
So,
Radius of pizza slice = Diameter of pizza / 2
Radius of pizza slice = 20 / 2 = 10 inches
∠IPZ = 45°
Find:
Perimeter of pizza slice
Computation:
Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]
Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]
Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]
Perimeter of pizza slice = 20 + [0.125][62.8]
Perimeter of pizza slice = 20 + 7.85
Perimeter of pizza slice = 27.85 inches (Approx.)
The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we're given that:
Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inchesNot using the above formula, but the concept, we know that:
360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).Since diameter of pizza = 20 inches, its radius r = 10 inches.
Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]
Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP
Since line IP and ZP are radius, thus:
Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.
Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
Learn more about angle, arc length relation here:
https://brainly.com/question/15451496
Solve Systems of Equations Algebraically.
y=x-8
y=5x
Answers
Answer:
(- 2, - 10 )
Step-by-step explanation:
Given the 2 equations
y = x - 8 → (1)
y = 5x → (2)
Substitute y = 5x into (1)
5x = x - 8 ( subtract x from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
Substitute x = - 2 into either of the 2 equations for y
Substituting into (1)
y = - 2 - 8 = - 10
solution is (- 2, - 10 )
write solutions to the systems of inequalities that should lie on the double- shade region
Answers
Answer:
(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)
there are a lot more but those are some.
Step-by-step explanation:
hi please help i’ll give brainliest
Answers
Answer:
Choice D
Step-by-step explanation:
I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.
Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is
Answers
How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?
Answers
Answer:
90 toys
Step-by-step explanation:
We should use the same unit for time. Rewrite 20 minutes as 1/3 hour.
The unit rate is then:
3 toys 9 toys
----------------- = -----------
1/3 hour hour
Multiply this unit rate by 10 hours, obtaining 90 toys
Ethel had 4 feet of ribbion she used 1 1/2 feet for a craft project how many feet of ribbon does she have left
Answers
Question 4 of 15
When asked to find the sum of two mixed numbers with different
denominators, you should before you add.
A. round each fraction
B. find the difference
C. find a common denominator
Answers
When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.
To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.
To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.
After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.
To know more about mixed numbers click here:
https://brainly.com/question/28994473
#SPJ2
Plzzz help me!!!!!!!!
Answers
=2w-3w+8w
=-w+8w
=7w.
Hope it will help you!
Please help me solve this.
Answers
Answer: 59
Step-by-step explanation:
Given
2b³+5 and b=3 ⇒ 2b³+5=2(3)³+5
Simplify exponents
2(3)³+5
=2(3×3×3)+5
=2×27+5
Multiplication
=54+5
Addition
=59
Hope this helps!! :)
Please let me know if you have any questions
PLEASEEEEE ILL MARK BRAINIEST
Answers
Answer:
5. 18 that is what i think the answers are
6. 13.75
5 2 11 8 35 32
How much money would produce $70 as simple interest at 3.5% per
annum?
Answers
Answer:
$2000
Step-by-step explanation:
Simple Interest = $70
Rate = 3.5%
Time = 1
Principal = ?
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (70 × 100)/(3.5 × 1)
Principal = 7000/3.5
Principal = 14000/7
Principal = 2000
Which graph shows a function where f(2)=4?
Answers
Answer:
A
Step-by-step explanation:
Answer:
the one that is a horizontal straight line on x axis that lies on 2
Aim High To The Sky
James McDonald
Aim high to the sky,
In all that you do.
Because you just never know,
What it takes to be you.
Be strong and be brave,
But at the same time be kind.
And always be sure,
That you're using your mind.
Based on the poem the reader can conclude that the speaker -
A. feels effort and thoughtfulness to others are all important
B, thinks trying your best is the only important thing
C.feels that success is the most important thing in life
D. thinks that everyone will succeed if they work hard enough
( PLEASE HELP )
Answers
Answer:
A
Step-by-step explanation:
Because That's The Main Idea
4 Luke's math scores for this grading period are listed below. 84, 86, 83, 78, 92, 87, 92, 90, 88, 86 What is the mean of the data set graphed on the dot plot? (10 Points) X X Х ХХ ХХХ xx 日中 85 90 95 70 75 80 F H
Answers
Answer:
86.6
Step-by-step explanation:
Add them all up and divide by how many scores
What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary
Answers
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
Answer:
I think it is the second option
I hope it helps you
pls answer this i have no clue
Answers
Answer:
90 degrees
Step-by-step explanation:
The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.
First, you need to solve for x:
S(x+10) + R(2x+60) + T(50+x) = 180
Add up all of the like terms:
10 + 60 + 50 = 120
x + 2x + x = 4x
So now you are left with 4x + 120 = 180
And solve for x:
4x/4 + 120/4 = 180/4
x + 30 = 45
x + 30-30 = 45-30
x = 15
Now that we have the value of x, plug it into the measure given for angle R:
(2x+60)
= (2(15)+60)
= (30 + 60)
= 90
So the measure of angle R is 90 degrees.
I hope this helped! :)
What is the image of (-10,-8) after a dilation by a scale factor of 1/2 centered at the
origin?
Answers
Answer:
(-5, -4)
Step-by-step explanation:
A dilation at the origin would just result with you multiplying the coordinates by the scale factor.
-10 * 1/2 and -8 * 1/2
plsssssssssssssssssssssssssssssss help!!
Answers
Answer:
Look for 75% of 1 1/2, I got 1.125 or 1 1/8
Step-by-step explanation:
can you guys help me please as much as you can ^^
Answers
Answer:
Step-by-step explanation:
m<1 = 50
m<2 = 22
m<3 = 108
m<4 = 50
m<5 = 65
m<6 = 50
m<7 = 43
m<8 = 65
m<9 = 75
m<10 = 18
m<11 = 25
m<12 = 40
m<13 = 115
m<14 = 65
m15 = 115
Based on the graph below, what is the domain and range of the function?
Answers
Answer:
The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.
Step-by-step explanation:
Answer:
Domain = all real numbers
Range = y ≥ -4
Step-by-step explanation:
Domain is the x-values, and for parabolas it is almost always all real numbers.
Range is the y-values, and the lowest it gets is -4.
If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k
Answers
Answer:
8
Step-by-step explanation:
the formula for direct variation =
Y ∝ kX
such that
Y = kX
from the question we have here
Y = Volume = 24
x = height = 3
when we put this in the formula above in bold
24 ∝ 3k
24 = 3k
from here we have to find the value of k. to do this, we divide through by 3
24/3 = 3k/3
8 = k
therefore the value of k is 8
Help help help help help
Answers
Answer:
6 ft
Step-by-step explanation:
The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.
hope is helped!
m - 12 = 11
A. -23
B. -1
C. 1
D. 23
Answers
Answer:
D. 23
Step-by-step explanation:
m-12-(11)=0
m-23 = 0
m = 23
