If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]
Answers
Answer:
The point A' lie at (-4,1).
Step-by-step explanation:
From the given figure it is clear that the coordinates of A are (-4,1).
If parallelogram ABCD was reflected over the y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
[tex]A(-4,1)\rightarrow A_1(4,1)[/tex]
Then it reflected over the x-axis,
[tex](x,y)\rightarrow (x,-y)[/tex]
[tex]A_1(4,1)\rightarrow A_2(4,-1)[/tex]
After that, it rotated 180° about the origin,
[tex](x,y)\rightarrow (-x,-y)[/tex]
[tex]A_2(4,-1)\rightarrow A'(-4,1)[/tex]
Therefore the point A' lie at (-4,1).
Related Questions
Jake, Becky, and Max are meeting at Charley's Pizza for dinner and then plan to go to a movie. When they arrive at the pizza place, each one of them has a different coupon. They decide to use the coupon that will give them the best deal. Jake's coupon is $19.99 for a pizza and pasta meal deal; Becky's coupon is for two large one-topping pizzas--each at 2/3 of the menu price; and Max's coupon is for three medium one-topping pizzas -- each at 1/4 off the menu price. According to the menu, a medium one-topping pizza is $8.99, and a large one-topping pizza is $14.89. They also spend $1.25 each for sodas and $5.00 on the tip. At the movie theater, Max has a coupon that's good for 1/2 off a third movie ticket when you purchase two other movie tickets at the regular price. The regular price of each movie ticket is $9.80. Although Jake, Becky, and Max plan to split the cost of the pizza and movie, they decide that with the coupons, it's just easier if one of them pays at each place. So, the friends agree that Jake will pay for the pizza and Becky will pay for the movies. At the end of the night, they'll figure out how much Max owes both Jake and Becky. At charleys pizza Whos coupon should they use?
Answers
the answer is Becky,s hope this helped
Addition with unequal denominators 1/3+1/6=
Answers
1/3 * 2/2 = 2 / 6
2 / 6 + 1 / 6 = 3 / 6
3/6 can be reduced to 1/2.
Hope this helps!
What is true about the absolute values of the slopes of parallel and perpendicular lines?
Answers
Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container How many biscuits does Trevor put in the container? help me please
Answers
If Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container.
Total number of biscuits = Number of batches × Biscuit in each batch
Total number of biscuits = 8 × 14
Total number of biscuits = 112
Number of biscuits sets aside,
Total number of biscuits sets aside = Number of batches × Biscuit in each batch
Total number of biscuits sets aside = 4 × 8
Total number of biscuits sets aside = 32
The number of biscuits Trevor put in the container is,
=112 - 32
=80
Thus, if Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.
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Write an expression for the perimeter of the triangle shown below: (4 points)
A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.
6.9x − 16
6.9x + 16
0.1x − 16
0.1x + 16
Answers
As to find out the perimeter, you need to add all sides of the triangle together:
(0.5x+9) + 3x + (-3.4-25)
then group the variables together:
(0.5x+3x-3.4) + (9-25)
0.1x - 16
Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the length of sides of a triangle are 0.5x+9, 3x, and -3.4x-25.
Let a=0.5x+9, b=3x, and c=-3.4x-25.
Perimeter of a triangle is the sum of length of all three sides.
[tex]Perimeter=a+b+c[/tex]
Substitute a=0.5x+9, b=3x, and c=-3.4x-25 in the above equation.
[tex]Perimeter=(0.5x+9)+(3x)+(-3.4x-25)[/tex]
On simplification, we get
[tex]Perimeter=0.5x+9+3x-3.4x-25[/tex]
Combine like terms.
[tex]Perimeter=(0.5x+3x-3.4x)+(9-25)[/tex]
[tex]Perimeter=(0.1x)+(-16)[/tex]
[tex]Perimeter=0.1x-16[/tex]
Perimeter of the triangle is 0.1x-16. Therefore the correct option is 3.
At 9:00 am linda leave work on a trip, sets her cruise control at 60mph. At 9:30 am, Bruce notices she left her briefcase and gets on the free way driving 90mph. At what time will Bruce catch up with Linda?
Answers
9:30 + one hour equals 10:30 and 90 miles away
In conclusion they will meet at 10:30
Bruce will catch up with Linda at 9:48 am.
Explanation:To find the time at which Bruce catches up with Linda, we need to determine the time it takes for Bruce to cover the same distance that Linda has already covered.
Since Linda starts her trip at 9:00 am and Bruce starts 30 minutes later at 9:30 am, Linda has a head start of 30 minutes or 0.5 hours.
In that 0.5 hours, Linda travels a distance of:
Distance traveled by Linda = Speed * Time
Distance traveled by Linda = 60 mph * 0.5 hours
Distance traveled by Linda = 30 miles
Now, Bruce needs to catch up with that distance of 30 miles. Let's find the time it takes for Bruce to cover that distance at his speed of 90 mph:
Time taken by Bruce = Distance / Speed
Time taken by Bruce = 30 miles / 90 mph
Time taken by Bruce = 0.33 hours
Since Bruce started at 9:30 am, he will catch up with Linda at:
Catch up time = Start time + Time taken by Bruce
Catch up time = 9:30 am + 0.33 hours
Catch up time = 9:48 am
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a bank gives you a simple interest loan at a rate of 5.5% after 3 years, you have paid the entire principal + 41.91 dollars in interest what was the original principal amount of your loan
Answers
Relationship A has a greater rate than Relationship B. This table represents Relationship B. Hours worked 2 4 5 8 Amount paid 30.40 60.80 76 121.60 Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y. Select each correct answer. y = 15.4x y = 15.2x y = 16.4x y = 14.9x
Answers
Answer:
The answers are y=15.4x and y=16.4x.
Step-by-step explanation:
I took the test just 3 minutes ago
Two or more expressions with an equal sign is called as Equation. y = 15.2x is the equation which could represent Relationship A.
What is Equation?Two or more expressions with an equal sign is called as Equation.
Given that,
Relationship A has a greater rate than Relationship B
Hours Worked Amount Paid
2 30.4
4 60.8
5 76
8 121.60
Let us take hours worked as x and Amount paid as y.
In the given functions
y = 15.4x ...(1)
y = 15.2x ...(2)
y = 16.4x ...(3)
y = 14.9x....(4)
We need to check which satisfies the relationship between x and y.
If x=2 then we need to get 30.4
So let us put x=2 in equation 1.
y=15.4×2
=30.8
Which does not matches.
Now let us check with second function.
y=15.2×2
y=30.4
It matches.
So let us check for other values.
x=4
y=15.2×4
y=60.8
x=5
y=15.2×5=76
if x=8, y=15.2×8=121.6
Hence y = 15.2x is the equation which could represent Relationship A.
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How do you write 18 tens in standard form
Answers
What's the equation
8p-3=13
Answers
-3 will go over the equality sign to become +3
So that will be;
8p=13+3
8p=16
Divide both sides by 8
P=16/8
P=2
Hope I helped. Good luck
A business owner pays $1,200 per month in rent and a total of $120 per hour in employee salary for each hour the store is open. On average, the store brings in $200 in net sales per hour. Which equation can be solved to determine the break-even point if x represents the number of hours per month the store is open?
Answers
The break-even point can be determined by setting the net sales per hour equal to the total cost per hour. The equation to solve for the break-even point is $200x = $1,320x. By dividing both sides of the equation by $1,320, we can find the value of x, which represents the number of hours per month the store needs to be open to break even.
Explanation:To determine the break-even point, we need to find the number of hours per month the store needs to be open in order to cover all its costs. The total cost for each hour the store is open is the sum of the rent and the employee salary. So, the total cost per hour is $1,200 + $120 = $1,320. The break-even point is reached when the net sales per hour equals the total cost per hour:
Net sales per hour = Total cost per hour
In this case, the net sales per hour is $200, so we can set up the equation:
$200x = $1,320x
where x represents the number of hours per month the store is open. By dividing both sides of the equation by $1,320, we can solve for x:
$200 = $1,320x / $1,320
$200 / $1,320 = x
x = 0.1515...
So, the break-even point is approximately 0.1515... hours per month, or about 9.09 minutes per month.
Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is.
Please help by computing the ratio.
Answers
divide both sides by 7
equals
7 kms : 1 tank
Distance : Tanks
49 : 7
Since both sides are divisible by 7,
Distance : Tanks
7 : 1
On side note: From what I have learnt, do not put any units (in this case km) when solving ratio
Hope this helps
~Top
Can a brick of 9cm by 12 cm by 25 cm can pass through a pipe of diameter 14 cm?
Answers
(9 cm)^2 + (12 cm)^2 = diagonal^2
Then 81 + 144 = diagonal^2 =225. So, the diagonal is 15 cm.
No, the brick will not pass through a pipe with inside diameter 14 cm.
9 cm (length) X 12 cm (width), 25 cm (height)
The length of how long the brick is does not matter. BUT, the width and height matters. All they need to be, is smaller than 14 cm. BUT, the height is 25 cm and is not smaller than 14 cm, so , No, it will not fit because the height to too tall to fit in. I believe I am correct, if not, anyone can correct me. I hope this helps =).
May
X y
1 12
5 40
10 50
15 170
20 280
25 410
What is the curve of best fit for the data shown?
A) y = 16x2 - 51x + 9
B) y = 0.2x2 + x + 23
C) y = 10x2 - 0.5x + 8
D) y = 0.6x2 - 0.02x + 11
Answers
The best fit curve for #1 is D. The easiest way to check these is by pluggin in to the equation and seeing if they come close. By doing just the first ordered pair along, it is apparent that only D will work.
With x = 1 input
A) -36
B) 24.2
C) 17.5
D) 11.58
#2 is also D. We can tell this because multiplying any of these options always results in a middle term between them. For instance, if you multiply out C, you will not only get x^4 and x^4, but you will also get terms such as 4x^2y^2 in the middle.
Nelson opened a savings account 11 years ago with a deposit of $3,115.89. The account has an interest rate of 5.3% compounded monthly. How much interest has Nelson earned?
Answers
Answer:
2458.77
Step-by-step explanation:
3115.89*(1+0.053/12)^(11*12) - 3115.89 = 2458.77
If a photo measuring 4 inches by 6 inches is placed in a photo frame that is 2 inches wide all around, what percent of the framed photo is the photo itself?
Answers
Answer:
Percentage of the photo = 50%
Step-by-step explanation:
Given that the measurement of the photo is 4 inches by 6 inches and the measurement of the photo frame is 2 inches wide all around, it simply implies that is measurement of the photo frame is (4inches + 2inches) by (6 inches + 2inches). I.e 6inches by 8inches
To find the percentage of the photo itself, let find the area of the photo and that of the frame
Area of photo = 4 inches x 6 inches = 24inches²
Area of photo = 6 inches x 8 inches = 48inches²
Percentage of the photo = area covered by the photo / area covered by the frame x100
Percentage of the photo = 24/48 * 100
Percentage of the photo = 50%
the walls of a square room need painting.Each of the four walls is 12 ft wide by 8.5 feet tall.One gallon of paint covers 75 ft.How many gallons will you need?
Answers
The walls of a room need painting. Each of the four walls is 12 ft wide by 8.5 feet tall.
We know that, Area = length [tex]\times[/tex] width.
So, the area of one wall = 8.5 ft [tex]\times[/tex] 12 ft = 102 square feet
Thus, the area of 4 walls = 4 [tex]\times[/tex] 102 = 408 square feet
One gallon of paint covers 75 square feet. We need to find how many gallons of paint will cover 408 square feet.
So, the amount of gallons of paint needed = 408[tex]\div[/tex]75
= 5.44 gallons
So, 5.44 gallons are needed to cover 408 square feet.
To find the number of gallons of paint needed to paint the walls of a square room, calculate the total area of all four walls and divide it by the coverage of one gallon of paint.
Explanation:To find the total area of all four walls, we need to calculate the area of one wall and then multiply it by four. The area of one wall is the product of its width and height, which is 12 ft x 8.5 ft = 102 ft².
So, the total area of all four walls is 102 ft² x 4 = 408 ft².
Since one gallon of paint covers 75 ft², we divide the total area of all four walls (408 ft²) by the coverage of one gallon of paint (75 ft²) to find the number of gallons needed: 408 ft² ÷ 75 ft² = 5.44 gallons.
Therefore, you will need approximately 5.44 gallons of paint to paint the walls of the square room.
what number 4 times as many as 25 times?
A)100
B)125
C)21
D)29
Answers
hope this helps!!
the temperature dropped 12 degrees Fahrenheit in 8 hours. if the final temperature was -7 degrees Fahrenheit what was the starting temperature
Answers
if it is 5 - 17 =12 so the answer is that it will be -12 Fahrenheit degrees outside
The starting temperature will be 5 degrees Fahrenheit.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The temperature dropped 12 degrees Fahrenheit in 8 hours.
If the final temperature was -7 degrees Fahrenheit.
Then the starting temperature will be given as the summation of the numbers -7 and 12. Then we have
⇒ - 7 + 12
⇒ 5 degrees Fahrenheit
The starting temperature will be 5 degrees Fahrenheit.
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What is the remainder when the polynomial 7x^2+15x−12 is divided by x + 3?
Answers
Answer:
6
Step-by-step explanation:
The answer is 6 my teacher showed me.
cos^4t - sin^4t = 1 - 2sin^2t
Answers
cos(t)^4 = (cos(t)^2)^2 = (1 - sin(t)^2)^2:(1 - sin(t)^2)^2 - sin(t)^4 = ^?1 - 2 sin(t)^2
(1 - sin(t)^2)^2 = 1 - 2 sin(t)^2 + sin(t)^4:1 - 2 sin(t)^2 + sin(t)^4 - sin(t)^4 = ^?1 - 2 sin(t)^2
1 - 2 sin(t)^2 + sin(t)^4 - sin(t)^4 = 1 - 2 sin(t)^2:1 - 2 sin(t)^2 = ^?1 - 2 sin(t)^2
The left-hand side and right-hand side are identical:Answer: (identity has been verified) = Ture
The graph below represents the function f(x), and the table below represents the function g(x).
Which statement is true?
The maximum value of g(x) is greater than the minimum value of f(x).
The minimum value of g(x) is less than the maximum value of f(x).
The minimum value of g(x) is greater than the maximum value of f(x).
The maximum value of g(x) is less than the minimum value of f(x).
Thank you! :)
Answers
The statement that is true about the graph is The maximum value of g(x) is greater than the minimum value of f(x).
1. "The maximum value of g(x) is greater than the minimum value of f(x)": This is true because the maximum value of g(x) is -10, which is greater than the minimum value of f(x) (which we don't know, but it cannot be lower than -10 based on the given data).
2. "The minimum value of g(x) is less than the maximum value of f(x)": This is true based on the given data, as the minimum value of g(x) is -1, which is less than the maximum value of f(x) (which we don't know, but it cannot be higher than -1 based on the given data).
3. "The minimum value of g(x) is greater than the maximum value of f(x)": This is false based on the given data. The minimum value of g(x) is -1, which is less than the maximum value of f(x) (which we don't know).
4. "The maximum value of g(x) is less than the minimum value of f(x)": This is false based on the given data. The maximum value of g(x) is -10, which is less than the minimum value of f(x) (which we don't know, but it cannot be lower than -10 based on the given data).
The greatest value of g(x) is -1 (the higher number for the g(x) entry in the table), and the minimum value of f(x) is -3 (the lower y/f(x) you may point on the graph). As a result, the maximum value of g(x) exceeds the minimum value of f(x).
How do you solve for B?
Equation is T = hP + 2B.
Answers
Subtract hp from both sides.
t - hp = 2b
Divide 2 from both sides.
b = t - hp / 2
Hope this helps!
To solve for B in the given equation, subtract hP from both sides and then divide both sides by 2. This results in B = (T - hP) / 2.
Explanation:To solve for B in the equation T = hP + 2B, you need to isolate B. Here's a step-by-step process to do that:
Subtract hP from both sides of the equation to get: T - hP = 2B.Then divide both sides of the equation by 2 to isolate B. The equation becomes B = (T - hP)/2.So, the solution for B in the equation is B = (T - hP)/2.
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How you write 5×923 in expanded form
Answers
I need help on this problem
Answers
on a blueprint of a house, 25 millimeters represents 4 meters. the actual length of the living room is 5 meters. what is its length on the blueprint?
Answers
5(25 mm ÷ 4 m)
Now, all you have to do is solve it. Remeber, you would start in the parenthesis using the distributive property (PEMDAS).
5(25 mm ÷ 4 m)
5 × 6.25 = 31.25 mm
The length of the blueprint would be 31.25 millimeters.
I hope this helps!
Answer:
31.25 mm
Step-by-step explanation:
Use a proportion.
25 mm is to 4 m as x mm is to 5 m
25/4 = x/5
4x = 125
x = 125/4
x = 31.25
Answer: 31.25 mm
Estimate 37,496 divided by 603
Answers
36000 / 600 = 60
if you are estimating to the same place
37,500 / 600 = 62.5
Use known facts to find the product 9x5
Answers
easy
three times a number increased by 5 is less than 17
Answers
3x < 12
x < 4
3x<12
x<4
the answer is x<4
what is the answer to this
3b+8= -10
Answers
3b = -10 -8
3b = -18
b = -18/3
b = -6