the point (1,1) is the image under the image under rhe translation (x,y) (x+3,y-3)
Answers
The pre-image of the point (1, 1) under the translation (x, y) -> (x+3, y-3) in a coordinate system is the point (-2, 4).
The student's question relates to a translation transformation in mathematics. A translation moves every point of a figure or a space by the same distance in a given direction. In this case, the student has provided a specific translation transformation, which is represented by the formula (x, y)
ightarrow (x+3, y-3). This transformation means that for any point with coordinates (x, y), the translated point will have coordinates where 3 is added to the x-coordinate and 3 is subtracted from the y-coordinate.
If the point (1,1) is an image under this translation, you can find its pre-image by reversing the translation. Thus, subtracting 3 from the x-coordinate of the image and adding 3 to the y-coordinate of the image gives the pre-image coordinates:
Pre-image x-coordinate: 1 - 3 = -2Pre-image y-coordinate: 1 + 3 = 4Therefore, the pre-image of the point (1, 1) under the given translation is (-2, 4).
Related Questions
A shop advertised a 23% off sale. If a coat originally sold for $258, find the decrease in price and sale price
Answers
If you are taking 25% off a $1.00 item you would be taking off 25¢. You get that by multiplying 100¢ by .25. That is the decrese.
The sale price is $1.00 - 25¢
what is the
equivalent to 3/6
Answers
6/12
9/18
etc
hope this helps
rip walks a total of 12 miles to and from school each week. Lindsey rides her bike a total of 56 miles to and from school each week.
Use the greatest common factor and the distributive property to complete the equation, and find the total number of miles Trip and Lindsey travel to and from school each week.
Answers
To use distributive property you would have to multiply 4 to (3+14) to get the answer.
4(3+14)=68
How could you represent the division as a fraction if 5 peopld shared 2 blocks if 6 people shared 5 blocks
Answers
The area of a rectangular wall of a barn is 42 ft. Its length is 8 feet longer. Than twice its width. Find the length and width of the wall of the barn.
Answers
-10 = x -1 please answer this question, the x is the unknown number
Answers
Add 1 to both sides
-10+1=x-1+1
-9=x
Final answer: x=-9
Size of U.S. States The total surface area (in square miles) for each of six selected eastern states is listed here.
28,995 PA
37,534 FL
31,361 NY
27,087 VA
20,966 ME
37,741 GA
The total surface area for each of six selected western states is listed (in square miles).
72,964 AZ
70,763 NV
101,510 CA
62,161 OR
66,625 CO
54,339 UT
Find the standard deviation for each data set. Which set is more variable?
Answers
Western States Standard deviation = 16178
The Western States is more variable because it has a higher deviation. Also you can tell that the Western States is more variable because the the data/numbers change more than the Eastern States.
Answer:
Second set.
Step-by-step explanation:
I put the formula of standart deviation in the image below.
x is each data of the list
μ is the data average
N is the amount of elements.
So, for the first list we have:
μ= [tex]\frac{28995+37534+31361+27087+20966+37741}{6}= \frac{183684}{6}=30614[/tex]
DE= [tex]\sqrt{\frac{|28995-30614|^{2}+|37534-30614|^{2}+|31361-30614|^{2}+|27087-30614|^{2}+|20966-30614|^{2}+|37741-30614|^{2}}{6} }[/tex]
= [tex]\sqrt{\frac{2621161+47886400+558009+12439729+93083904+50794129}{6} }[/tex]
= [tex]\sqrt{\frac{207383332}{6} }[/tex]
= [tex]\sqrt{ 34563888.6667 }[/tex]
= 5879.1061.
For the other list of elements:
μ= [tex]\frac{72964+70763+101510+62161+66625+54339}{6}= \frac{428362}{6}=71393.66[/tex]
DE=[tex]\sqrt{\frac{|72964-71393.66|^{2}+|70763-71393.66|^{2}+|101510-71393.66|^{2}+|62161-71393.66|^{2}+|66625-71393.66|^{2}+|54339-71393.66|^{2}}{6} }[/tex]
= [tex]\sqrt{\frac{2465967.71+397732.03+906993934.99+85242010.67+22740118.19+290861427.71}{6} }[/tex]
= [tex]\sqrt{\frac{1308701191.3}{6} }[/tex]
= [tex]\sqrt{218116865.21 }[/tex]
= 6029.32
Then, the second set is more variable.
lauren is building a tree house with her dad. the dimensions of the floor are 9 feet by 6 feet. what is the area of the floor, measured in the square yards?
A. 6 square yards
B. 15 square yards
C. 30 square yards
D. 54 square yards
Answers
Area = L x W
Area = 9 x 6
Area = 54
Therefore, making your answer D. 54 square yards.
Hope This Helps You!
Good Luck :)
Answer:
The answer is A) 6 square yards.
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.
Answers
x = 2Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0
2.1 Factoring 2x2-3x-2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2x2 - 4x + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization
can someone pls help
Answers
when x =1 , y = 3
when x = 3, y =27
27-3 = 24
3-1 = 2
24/2 = 12
rate of change = 12
I can type 225 minutes in 5 minutes.at that speed,how many words can I type
Answers
But if you are asking how many words can you type in 10 minutes, it would be 450 words because 225 * 2 = 450.
Hope this helped.
4. Tina wants to secure sequins on a piece of felt shaped like a rectangle with a length of 10 cm and width of 21 cm. What is the cost of all the sequins if sequins cost $0.70 per of coverage?
a. $21.70 b. $43.40 c. $73.50 d. 147.00
Answers
Answer:d. 147.00
Step-by-step explanation:
Area of sequins required is equal to the area of the rectangle.
Length of rectangle is 10cm and width is 21 cm.
Area of rectangle = length x width.
= 10 x21 =210 square cm.
Cost of sequins = 210x0.70= $147.00.
Option d $147.00 is the right answer.
how many 1/4 pound hamburgers can you make from 3 1/2 pounds of ground beef
Answers
For a set of ordered pairs, the variable corresponding to the first coordinate is the
Answers
please explain step by step for 0.67÷0.3=?
Answers
0.67 * [tex]10^2[/tex] = 67
0.3 * [tex]10^2[/tex] = 30
Divide as usual.
67 / 30 = 2 [tex]\frac{1}{3}[/tex]
So, the answer is 2 1/3.
In a mixture of pretzels to corn chips the ratio of pretzels to corn chips is 3 to 7. How many pretzels will be in a mixture that has 100 total pieces in it?
Answers
The depth finder on a fishing boat gives readings that are within 5% of the actual water depth. when the depth finder reading is 250 feet, the actual water depth x lies within a range given by an inequality.
Answers
Depth finder reading = Actual Water Depth +/- 0.05*Actual Water Depth
250 ft = x +/- 0.05x
250 ft = x(1 +/- 0.05)
x = 250/(1 +/- 0.05)
Solving the equation:
x = 250(1 + 0.05) = 262.5 ft
x = 250(1 - 0.05) = 237.5 ft
Hence, the actual depth is between the range 262.5 ft - 237.5 ft.
I need help with this problem
Answers
a professional baseball team was 84 games this season. the team won 14 more games that it lost. how many games did the team lose? how did it play?
Answers
ok, they won 14 more than that, so they won "a + 14" then.
now, we know they played a total of 84 games, thus a + (a + 14) = 84
[tex]\bf a+(a+14)=84\implies 2a+14=84\implies 2a=70\implies a=\cfrac{70}{2} \\\\\\ a=35[/tex]
how did they play? well, they did alrite, could have done better I guess.
Suppose the length of a diagonal of a square increases from 16 cm to 16.1 cm. What would the change in the area of the square be
Answers
The change in area will be such that it will increase by 1.605 or 1.25%.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
The area of a square with diagonal x is given as x²/2.
Area with diagonal 16 cm ⇒ 16²/2 = 128 cm²
Area with diagonal 16.1 cm ⇒ 16.1²/2 = 129.605 cm²
Change of area = 129.605 - 128 = 1.605 cm².
Percentage change = 1.605/128 x 100 = 1.25%.
Hence "The change in area will be such that it will increase by 1.605 or 1.25%".
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two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per hour East bound train travels at 75 miles an hour how long will it take for the two trains to be 338 miles apart
Answers
so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.
now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ Westbound&d&55&t\\ Eastbound&338-d&75&t \end{array} \\\\\\ \begin{cases} \boxed{d}=55t\\ 338-d=75t\\ ----------\\ 338-\boxed{55t}=75t \end{cases} \\\\\\ 338=75t+55t\implies 338=130t\implies \cfrac{338}{130}=t\implies \stackrel{hours}{2.6}=t[/tex]
so, 2hours and 36 minutes.
The shanghai maglev train is one of the fastest trains in the world, traveling about 2144 miles in 8 hours. How many miles does it travel in one hour? The distance between columbus ohio and new york city is about 560 miles.how many hours would it take the train to travel between the cities
Answers
trip 560 miles ÷ 268 miles per hours = 2hrs and 8min
Answer:
The train travels 268 miles in 1 hour. It would take 2.0896 hours to travel between the cities.
Step-by-step explanation:
Consider the provided information.
The shanghai maglev traveling about 2144 miles in 8 hours.
This can be written as:
2144 miles = 8 hours
Divide both sides by 8.
2144/8 miles = 8/8 hours
268 miles = 1 hours
Thus, the train travels 268 miles in 1 hour.
The distance between Columbus Ohio and new York city is about 560 miles. We need to find how many hours would it take the train to travel between the cities.
268 miles = 1 hours
Divide both the sides by 268.
1 miles = 1/268 hours
Now multiply both sides by 560.
560 miles = 560/268 hours
560 miles = 2.0896 hours
Hence, it would take 2.0896 hours to travel between the cities.
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight. What is the fathers weight?
Answers
.
0.5F+10kg=48kg
0.5F=38kg
F=76kg
ANSWER: His father's weight is 76 kg.
Bills father weight is 76 kilograms.
Here,
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight.
We have to find, Bills father weight.
What is Linear expression?
Linear Equations deal with Equations with linear expression in one or two variables . Such Equations are known as Linear Equations.
Now,
Let Bills father weight is x kilograms.
According to given condition,
Bills weight is 48 kilograms. This is 10 grams more than one half his fathers weight.
⇒ [tex]\frac{x}{2} + 10 = 48[/tex]
⇒ [tex]\frac{x}{2} = 48 - 10[/tex]
⇒ [tex]\frac{x}{2} = 38[/tex]
⇒ [tex]x = 76[/tex]
Hence, Bills father weight is 76 kilograms.
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the length of a rectangle is six times its width if the perimeter of the rectangle is 126 cm find its area
Answers
Length(L)=6W
Perimeter (P)= 126cm
P=2L +2W
126=2 (6W)+2W
126=12W+2W
126=14W
126/14=14W/14
9=W
L=6W=6 (9)=54
Area (A)=LxW
A=(54)(9)=486cm^2
The area of the rectangle is 567 cm².
What are the dimensions of the rectangle?Length = 6w Width = wPerimeter = 2(6w + w) = 126
6w + w = 126/2
7w = 63
w = 9 cm
Length = 6 x 9 = 63
What is the area of the rectangle?Area = length x width
63 x 9 = 567 cm²
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Method for working out 5+-2--10
Answers
5 - 2 + 10
3 + 10
13
hope this helps
the village, 125 people were issued a parking ticket. this month only 83 people were issued one. What was the percent reduction from this month to last month in the number of people who were issued a parking ticket
Answers
42/125=.336 or 33.6% decrease
The sum of two consecutive odd integers is −236. Find the two integers
Answers
x + x + 2 = -236
2x + 2 = - 236
2x = - 236 - 2
2x = - 238
x = -238/2
x = - 119
x + 2 = -119 + 2 = - 117
so ur 2 integers are : -117 and -119
Sam bought 11 pounds of rice for $7 . How many pounds of rice did he get per dollar?
Answers
--------
11 lb
Use this equation of ratios to determine the unit price of a pound of rice:
$ 7 $1
-------- = -----------
11 lb. x
11 lb x
------- = -----------
$7 $1
Cross multiplying, (11 lb)($1) = ($7)x
Divide both sides by $7 to obtain the value of x, the number of pounds of rice per dollar.
x divided by 7 equals 12
Solve For x
Answers
x is equal to 84
x/7 = 12
12 x 7 = x
84 = x.
Hope This Helps You!
Good Luck :)
the distance from the earth to the Sun is approximately 9.3×10^7 miles. if light travels 1.2×10^7 miles in 1 minute, how many minutes does it take the light from the sun to reach the earth ?
Answers
It takes approximately 12.47 minutes for light from the Sun to reach the Earth.
Explanation:To find out how many minutes it takes for light from the Sun to reach the Earth, we can divide the distance from the Earth to the Sun by the distance light travels in 1 minute.
First, let's convert the distance from miles to kilometers. 1 mile is approximately 1.60934 kilometers, so the distance from the Earth to the Sun is approximately 1.496 × 108 kilometers.
Now, we divide this distance by the distance light travels in 1 minute: 1.496 × 108 kilometers / 1.2 × 107 kilometers per minute = 12.47 minutes.
Therefore, it takes approximately 12.47 minutes for light from the Sun to reach the Earth.
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