Find the image of (-1, 3) obtained by translating
2 units down, followed by a rotation of 180°
counterclockwise about the origin.
HELP QUICK
Answers
Answer:
(1, - 1 )
Step-by-step explanation:
A translation of 2 down means subtract 2 from the y- coordinate
(- 1, 3 ) → (- 1, 3 - 2 ) → (- 1, 1 )
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
(- 1, 1 ) → (1, - 1 )
Overall
(- 1, 3 ) → (- 1, 1 ) → (1, - 1 )
The image of (-1, 3) was obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
What is coordinate?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The given point with coordinates of (-1,3), when translated downwards will have the coordinated equal,
(-1,3) ⇒ (-1, 3-2) ⇒ (-1, 1)
Now, since the translation is about 180° in the counter-clockwise direction, the coordinates of the new point will be equal to,
(-1,1) ⇒ (1, -1)
Hence, the image of (-1, 3) obtained by translating 2 units down, followed by a rotation of 180° counterclockwise about the origin is (1,-1).
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Related Questions
f(x) = 3x2 – x
Find f(10)
Answers
Answer: f(10) = 290
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given expression
f(x) = 3x² - x
Substitute values into the expression
f(10) = 3(10)² - (10)
Simplify exponents
f(10) = 3(100) - (10)
Simplify by multiplication
f(10) = 300 - 10
Simplify by subtraction
f(10) = [tex]\boxed{290}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 2
B. quadratic; y = x2 – 2
C. linear; y = –x – 2
D. linear; y = x – 2
Answers
Answer:
C. linear; y = –x – 2
Step-by-step explanation:
Answer:
Option A, linear; y = -x - 2
Step-by-step explanation:
Example-
x = 3
y = ?
? = -3 - 2 (add the negative number if in the case of subtracting a negative number)
? = -5
A number, n, increased by 6, and them the sum is doubled
Answers
Answer:
2(n + 6)
Step-by-step explanation:
Increased by 6 means to add 6 to a number. Then double the sum is to multiply the total by 2.
4x + 7 + x
Can anyone help?
Answers
Answer:
5x + 7
Step-by-step explanation:
Given
4x + 7 + x ← collect like terms
= (4x + x) + 7
= 5x + 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{4x + 7 + x}[/tex]
[tex]\huge\text{= 4x + 7 + 1x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (4x + 1x) + 7}[/tex]
[tex]\huge\text{= 5x + 7}[/tex]
[tex]\huge\text{Answer: \textsf{5x + 7}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the distance of 1 wavelength?
Answers
Answer:
The length of a wave is one way to measure its size. It's the distance between two neighboring waves' corresponding points, commonly measured in meters. The distance between two adjacent crests is used to calculate the wavelength of a transverse wave.
Step-by-step explanation:
:)
What is the answer to -x-(-10x) work
Answers
Answer:
9x is the answer
Step-by-step explanation:
-x-(-10x)
-x+10x
9x
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{-x - (-10x)}[/tex]
[tex]\huge\text{= -1x - (-10x)}[/tex]
[tex]\huge\text{= -1x + 10x}[/tex]
[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\huge\text{= (-1x + 10x)}[/tex]
[tex]\huge\text{= 9x}[/tex]
[tex]\huge\text{Answer: \textsf{9x}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer plz
Determine the answer to 3 + (−5) and explain the steps using a number line.
Answers
Answer:
The answer is –2
Step-by-step explanation:
The reason its –2 is because on a number line
[tex]3 + ( - 5) \\ [/tex] For example, if you have 3 eggs and you are to remove 5 eggs ( i used removed as in subtract) how many eggs are you gonna hv just so you know yea+ – + = +– - – = –+ – – = –– – + = –so if ur gonna use a calculator add the brackets in the question it will give u –2(HELP ASAP PLEASEE!!)
How much interest would u pay on a $930 loan at 6% simple interest rate at the end of 18 months
Answers
Answer:
18month=1.5 year
Interest = 0.06*930*1.5=$83.7
Determine the Type I error if the null hypothesis, H0, is: the percentage of homes in the city that are not up to the current electric codes is no more than 10%. And, the alternative hypothesis, Ha, is: the percentage of homes in the city that are not up to the current electric codes is more than 10%.
Answers
Answer:
..
Step-by-step explanation:
.
what is the answer for this Evaluate 3|-3|.
Answers
Answer: 9
Concept:
Here, we need to know the idea of absolute value.
The absolute value of a number or integer is the actual distance of the integer from zero, in a number line.
There are no negatives in absolute value. So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive.
Solve:
Given
3 |-3|
Expand absolute value sign, which means making [-3] positive
= 3 × (3)
Simplify by multiplication
= [tex]\boxed{9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Because absolute value sign |-3|
That mean 3
3*3 = 9
So answer is 9
the shopkeeper sold a camera for 2570 and made a loss of rs180 at what price did he/she purchasr the camera
Answers
purchase they sold it for: $2570
loss= $180
They purchased it for= loss + selling cost
=2570+180
=$2750
Including a 7% sales tax, an inn charges $125.19 per night. Find the inn's nightly cost before tax is added.
Answers
The inn's nightly cost before tax is added is $23.54
Taxes are prices added on top of goods and services
Let the normal price be x
Price including tax = x + 0.07x (note that the tax iss 7%)
Given that Price including tax = $125.19, then;
$125.19 = x + 0.07x
Find the value of x
125.19 = 1.07x
Swap
1.07x = 125.19
x = 125.19/1.07
x = $23.54
This shows that the inn's nightly cost before tax is added is $23.54
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if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answers
Answer:
2
Step-by-step explanation:
In an AP, Tn = a + (n - 1)d
T6 = a + 5d = 11
The first term = a = 1
∴ T6 = 1 + 5d = 11
5d = 11 - 1
5d = 10
∴ d = 2
I hope this will help you :-)
Answer:
[tex]x6 = 11 \\ x1 = 1 \\ x6 \: can \: be \: written \: as \: x6 = x1 + 5d \\ x6 = 1 + 5d \\ 11 = 1 + 5d \\ 10 = 5d \\ d = \frac{10}{5} \\ d = 2 \\ thank \: you[/tex]
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
Answers
0.2013 x 100 = 20.13%
20%
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
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Andy gets 8 hours of sleep every night for two weeks. How many total hours of sleep will he get in two
weeks? How many minutes of sleep will he get in two weeks? How many seconds will he get in two
weeks? (1 week = 7 days, 1 hr = 60 min, 1 min = 60 sec)
Answers
Answer:
112 hours
Step-by-step explanation:
1 week = 7 days
2 weeks = 14 days
= 14 × 8
= 112 hours
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answers
Answer:
$330
Step-by-step explanation:
working hours a day = 5 hours 30 minute
total working hours = 5 days × 5.5 hours
= 27 hours 30 minute
pay per hour = $12
total gross pay a week = 27.5 × $12
= $330
Help Me please ,I need help ,someone help me!
Answers
Step-by-step explanation:
Since the integers are consecutive,
let the smaller one be x
then the larger will be x+1
Now their sum is -15
x+x+1=-15
2x=-15-1
2x=-16
x=-8
Therefore the smaller is -8 and the larger is -7
Now when one is added to the smaller integer it becomes -8+1=-7
If 2 is subtracted from the larger one it becomes -7-2=-9
their product therefore becomes -9×-7=63
can someone help me plz
Answers
Answer:
The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.
Step-by-step explanation:
Answer:
Length = 12
Midpoint = 1
Step-by-step explanation:
to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.
How many yards are in 1 mile 300 feet? O 5,580 yards O2, 660 yards O 1, 860 yards 2,060 yards
Answers
Answer:
1860 yards
Step-by-step explanation:
1 mile = 1760 yards.
1 yard = 3 feet
300 feet = 100 yards
1760 + 100 = 1860 yards
Using static equilibrium calculations, calculate the length from the fulcrum to the
resistance force.
Answers
Answer:
kdfbfnfffjjjjjjjjjjskslosksndbdd
The number of students in high school has been increasing linearly since 1990. In 1997, there were 1125 students and in 2000, there were 1200 students.
Write an equation for the number of students as a function of the number of years since 1990.
Answers
Answer:
(x-1990)×25
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
The Equation is 25x-47500 as a function of the number of years since 1990.
To find equation for the number of students .
What is equation?Statement that the values of two mathematical expressions are equal.
Given that:
The number of students in high school has been increasing linearly since 1990.
In 1997, 1125 students and in 2000, there were 1200 students.
Increase the number of students in 1997-2000
=1200-1125=75
In 3 years 75 student increased
In 1st years 25 student increased
number of students that will increasing in 1990=25
Equation=(x-1900)*25
Equation=25x-47500
where x is date/year
So, the Equation is 25x-47500 as a function of the number of years since 1990.
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Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answers
Answer:
Mean=6
Sum of numbers= 30
Step-by-step explanation:
5 quarters weigh approximately 1 ounce. How many ounceswould you expect a collection of quarters worth $15 to weigh?
Answers
5 quarters =1.25$
15$÷1.25$=12
then 15$ in quaters would weigh 12 ounces
At a bake sale there were 52 items sold total. If 24 of the items sold were cookies and the rest were brownies what is the ratio of brownies sold to cookies sold?
Answers
to find b, you just subtract (52-24)
28 to 24 is our ratio
we can simplify this (just like fractions!) since both are even, let’s do it by 2!
28/2 = 14 and 24/2 = 12
simplify once more and you get our ANSWER: 7:6
Factoring binomials with the difference of squares
Answers
Answer:
Step-by-step explanation:
Determine the value of x.
A) 78°
B) 160°
OC) 80°
D) 240°
Answers
Answer:
c
Step-by-step explanation:
Trista has 8 mg of iron and 0.83 mg of tin.
How much more iron does she have than tin?
8.83 mg
7.17 mg
7.27 mg
71.7 mg
Answers
Here, we need to subtract the quantity of tin from the quantity of iron in order to find how much more iron Trista has than tin
The quantity of iron Trista has more than tin is 7.17 mg
Quantity of iron = 8 mg
Quantity of tin = 0.83 mg
Quantity of iron Trista has more than tin = Quantity of iron - Quantity of tin
= 8 mg - 0.83 mg
= 7.17 mg
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if John has 6 apples more than mark who has 2 apples but 1 one apple less than Lizy, how many apples does John have?
Answers
Grant has 12 roses, 15 tulips and 20 azaleas. Grant wants to use all of his flowers to create bouquets that are identical to each other. If Grant creates the maximum number of bouquets possible, how many of each flower will be in each bouquet? *
Answers
Answer:
5
Step-by-step explanation:
13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.
DG*DE/2 = GE * DF/2 Multiply both sides by 2
DG*DE = GE * DF
DG = 8
DE = 15
GE = 17
8*15 = 17* DF
120 = 17 * DF Divide by 17
120/17 = DF
DF = 7.06