Graph the image of the given triangle after a rotation of 180° about the origin
Answers
Answer:
The bottom point is at (-1, 1) the right point is at (6,-2) and the left point is at (-5,4)
Step-by-step explanation:
Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If a coordinate of any polygon (x,y) is rotated 180 degrees about the origin either clockwise or anticlockwise then its coordinate will change sign.
(x,y) → (-x,-y)
Given triangle have coordinates as (-1,1),(-2,6), and (-5,4).
The transformation (x,y) → (-x,-y) gives ;
(-1,1) → (1,-1)
(-2,6) → (2,-6)
(-5,4) → (5,-4)
Hence "Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4)".
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Related Questions
A salesperson earns nine percent commission on sales. The equation for the amount he or she earns in commission is, where s is the amount sold. How much commission is c=0.09s will he or she earn if the amount sold is $6,000? Write an ordered pair to represent your answer.
Answers
According to the word problem question;
If the salesperson earns 9 percent commission on sales;
In essence, 9/100 of the sales proceedings belongs to the salesperson.
Mathematically; the equation for the amount he or she earns in commission is;
c = 0.09swhere; c = commission and s = amount sold.Consequently, if the amount sold is $6,000;
The amount he or she earns in commission is;
c = 0.09 × $6,000c = $540.
The answer in ordered pair form is therefore;
(s,c) = ($6000, $540)
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A car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
a. Determine the car's final speed.
b. Calculate the car's average speed during its trip
Answers
Answer:
15m/s
Step-by-step explanation:
we know that
v = u + at
= 0+ 3*5
=15m/s
The final speed of a car is 15 m/s.
Given that, a car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Here, the initial speed = u = 0
Now using v = u + at formula, we get
v = 0+ 3 × 5
=15 m/s
So, final speed is 15 m/s
Average speed is 15 m/s
Therefore, the final speed of a car is 15 m/s.
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A statistician predicts that the probability of Wisconsin losing their next football game is 914. What are the odds for them winning? Write your answer as 1:2 which is reduced as much as possible.
Answers
Since the probability of them winning is 5/14, the odds of them winning is 5:14.
Probability of the team losing = 9/14
Probability of the team winning will then be: = 1 - 9/14 = 5/14
It should be noted that in order for us to get the probability of then winning, we have to subtract the fraction from 1 which was what was done above.
Therefore, it can be deduced that since the probability of them winning is 5/14, the odds of them winning is 5:14.
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Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.
Answers
Answer:
Let x = speed for the first 96 miles
x - 9 = speed for the last 100 miles
Distance = (rate)(time), so time = (distance)/(rate)
(time for first part of trip) + (time for last part of trip) = 4 hours
So, (96)/(x) + (100)/(x - 9) = 4
Multiply both sides by the LCD (x)(x - 9) to get
96(x - 9) + 100x = 4x(x - 9)
96x - 864 +100x = 4x2 - 36x
4x2 - 232x + 864 = 0
Divide both sides by 4 to obtain x2 - 58x +216 = 0
(x - 4)(x - 54) = 0
x = 4 or x = 54
Note that x can't equal 4 because, in that case, x - 9 would be negative, so x = 54 miles per hour.
Step-by-step explanation:
ok
Will mark brainliest - In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls?
Answers
Answer:
The answer is 80,730
Step-by-step explanation:
Hope this helps <33
have a good afternoon :)
the scale of a model skyscraper is 5cm:150 meters. what distance is represented by 1cm?
Answers
Answer:
30 meters
Step-by-step explanation:
150/5
Need help asap
solve v 2v-11=17
Answers
Answer:
v = 14
Step-by-step explanation:
Add 11 to both sides of the equation
2v-11+11 = 17+11
Simplify. (à la, add the numbers)
2v = 28
Divide both sides of the equation by 2
v = 14
Evaluate f(0) given the following graph
Answers
Answer:
f(0) = 1
Step-by-step explanation:
Assuming the graph is a function of x, then f(0) = 1.
Plug in 0 for x and ask yourself what is the y coordinate?
I really need help. PLEASE
Answers
Answer:
Question 1: 2 Question 2: 1/3 Question 3: -3
Step-by-step explanation:
rise over run :)
Please solve ASAP. Solving quadratic equations by factorising
Answers
Answer:
x = 1 , x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
2x² - 5x + 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
x^2 - 16 = 0 by extracting the square root
Answers
Answer:
{-4, 4}Step-by-step explanation:
x² - 16 = 0x² = 16x = √16x = ± 4fully simplify (2x+y)^2
Answers
Answer:
4
2
+
4
+
2
Step-by-step explanation:
F = 9/5 + 32 PLS ANSWER THIS
Answers
Answer: I think it's 32.8
Step-by-step explanation:
[tex]100\times 100\times20[/tex]
Answers
Answer:
100 × 100 × 20 = 200,000
Step-by-step explanation:
here pls brainliest
So one pls help plzzzz
Answers
3.7 - 1.8 - 3.67 + 4.4 - 1.34
Answers
Answer:
1.29
Step-by-step explanation:
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answers
Answer:
20. A. y= 10x = 15
21. C. Php 75.00
22. B. Php 195.00
Step-by-step explanation:
She has to pay 25 Pesos for one hour and only ten more each hour after that. That can be represented in the formula Y= 10x +15. To solve the rest of the questions, just substitute 6 hours for question 21 and 18 hours for question 22.
A, y= 10x + 15
C, 75.00
B, 195.00
Explanation for the first question:
We can see in the table the price is going up by 10
25 to 35 to 45, etc
So 10x + 15
Explanation for question 2:
We know the equation is 10x + 15. X is the amount of hours so that is our 6. If you plug it into the equation you get
10(6) + 15
Multiply first
60+15
Then add
You get 75.
Explanation for question 3:
Do the same as question 2 just with 18 instead of 6.
10(18) + 15
Multiply
180 + 15
Add
195
giúp mìn vs mngggggg
Answers
Answer:
136.99
Step-by-step explanation:
Đây là một câu hỏi dễ chỉ cần sử dụng máy tính
If B = x + 10 and C = x + 2 , find an expression that equals 2B + 2C in standard form.
Answers
Answer:
4x+24
Step-by-step explanation:
B = x+10
C = x+2
2B + 2C = 2(x+10) + 2(x+2) = 2x+20+2x+4 = 4x+24
Two times a number Increased by fifteen is the same as five times a number less than forty three
Answers
Step-by-step explanation:
2x+15 = 5x-43
- Add 43 to both sides
2x+58 = 5x
- Subtract 2x from each side
58 = 3x
- Divide by 3
The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
33/2
11
11
33/2
Answers
The scale factor as fraction in simplest form is 3/2.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given square on the right is a scaled copy of the square on the left.
So 11 is being multiplied by something to get to 33/2
So 11x = 33/2
Solve for x:
11x = 33/2
x = 33/ 2(11)
x = 3/2
The scale factor as fraction in simplest form is 3/2.
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Meg will have
1 serving of frozen yogurt for dessert. One serving of frozen yogurt is
3/4 cup. Meg only has a 1/8 cup scoop. How many scoops should Meg use to get 1 serving?
Answers
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.
Answers
Answer:
C.) class number and painting preference
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
the answer is C I believe
Step-by-step explanation:
Diberi f-'(x) = x # m dan g(x) = 1 + x, cari
(a) f(x) dalam sebutan , 11 - 1
b) nilai h jika ff-'(12 - 2) = 8[(1 – h)?].
Answers
I dont know it sorry. im only a 6th grader :p
Andre Drew a plan of a courtyard at a scale of 1 to 60 on his drawing one side of the car Courtyard Is 75 inches. If I Andre Made another courtyard scale drawing is a scale of 1 to 12 what destroying be smaller or larger than the first the drawing
Answers
Answer: hey girl hal is north west west of north west west north west of north north
Step-by-step explanation:
Solve for n.
3 ( n + 5 ) ≥ 3 n + 8
Answers
Answer:
[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 3 \times5 \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\ 3n - 3n \geqslant 8 - 15 \\ 0n \geqslant - 7 \\ no \: solution \\ thank \: you[/tex]
Answer:
[tex]7 \geqslant 0 \: \: \: \: or \: \: \: \: 0 \leqslant 7 \\ [/tex]
Step-by-step explanation:
[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\15 - 8 \geqslant 3n - 3n \\ 7 \geqslant0 \\ [/tex]
Multiply the binomials: (b+8)•(b-2)
Answers
Answer:
[tex]{ \rm{(b + 8)(b - 2)}} \\ \\ = { \rm{ {b}^{2} - 2b + 8b - 16}} \\ \\ = { \rm{ {b}^{2} + 6b - 16}}[/tex]
On Monday a team of street sweepers cleaned 3/4 of a city block. Tuesday, the team cleaned 2/3 as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday? Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
1/2
Step-by-step explanation:
3/4=75%
75*2/3=50
50=1/2
The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35 kilometers and stop for gas. There were 17 kilometers left to drive.
How many kilometers does the family have to drive to get to the state fair?
Answers
32 kilometers + 35 kilometers + 17 kilometers
= 67 kilometers + 17 kilometers
= 84 kilometers
#LearnWithEXO
Answer:
84 kilometers
I hope it will help you po
At the Richard's pound the ratio of cats to dogs is 9 to 6. If there are 45 cats in the pound then
how many dogs are in the pound?
Answers
Answer:
30 dogs are in the pound.
Step-by-step explanation:
If the original ratio is 9:6
Then multiply both sides by 5: (9*5) : (6*5)
New ratio: 45:30
