Write the coordinates of the vertices after a rotation 180° clockwise around the origin.
Answers
Answer:
it will be P'(y,-x) since it is clockwise direction and I anti clockwise the formula to find the coordinates will be (-y,x)
Related Questions
3 integral^3 f(x)dx =0 for any function f(x) defined at x=3.
• True
• False
Answers
The given statement is true.3 integral^3 f(x)dx =0 for any function f(x) defined at x=3. The integral of f(x)dx is zero for any function f(x) that is defined at x=3.
According to the given statement,3 integral^3 f(x)dx =0 for any function f(x) defined at x=3.This statement is true as it is known that if the integral of a function f(x) is zero, then the function is equal to the constant C, where C is a constant of integration.
Now, if the integral of f(x)dx is zero for any function f(x) that is defined at x=3, then f(x) is equal to C at x=3. Hence, the statement is true.
The statement 3 integral^3 f(x)dx =0 for any function f(x) defined at x=3 is true. This is because if the integral of a function f(x) is zero, then the function is equal to the constant C.
Hence, if the integral of f(x)dx is zero for any function f(x) defined at x=3, then f(x) is equal to C at x=3.
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Please help me urgently
Answers
Answer:
A=36°
B=54°
C=90°
a=7
b=9.6
c=11.9
Step-by-step explanation:
Upper case A,B,C are angles. B and C are given. Calculate A because the three angles in a triangle add up to 180°. See image.
Lower case a,b, and c are side lengths.
a is given. You need to use trigonometry and a calculator to find b or c or both. Or you can find one and use the Pythagorean Theorem to find the other. See image.
Draw a square A B C D with opposite vertices at A(2,-4) and C(10,4) .
c. Show that the measure of each angle inside the square is equal to 90 .
Answers
Each angle inside the square ABCD is equal to 90 degrees.
We can make use of the properties of a square to demonstrate that the measure of each angle within the square is equivalent to 90 degrees.
Given the contrary vertices of the square as A(2, - 4) and C(10, 4), we can track down the other two vertices B and D utilizing the properties of a square.
How about we track down the length of one side of the square first. The formula for the distance between two points (x1, y1) and (x2, y2) is as follows:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Utilizing this recipe, we can track down the length of AC:
AC = ((10 - 2)2 + (4 - (-4))2) = (82 + 82) = (64 + 64) = (128 + 82) Since a square has all sides that are the same length, we can say that AB = BC = CD = DA = 802.
Let's now locate AC's midpoint, M. The formula for the midpoint between two points (x1, y1) and (x2, y2) is as follows:
We can determine M's coordinates using this formula: M = ((x1 + x2)/2, (y1 + y2)/2).
M = ((2 + 10)/2, (-4 + 4)/2) = (6, 0) Now that we know the coordinates of B and D, we can see that BM and DM are AC's perpendicular bisectors and that M is AC's midpoint.
The incline of AC can be determined as:
m1 = (y2 - y1)/(x2 - x1) = (4 - (-4))/(10 - 2) = 8/8 = 1 The negative reciprocal of the slope of a line that is perpendicular to AC is its slope. Therefore, BM and DM have a slope of -1.
With a slope of -1, the equation for the line passing through M can be written as follows:
y - 0 = - 1(x - 6)
y = - x + 6
Presently, we should track down the focuses B and D by subbing the x-coordinate qualities:
For B:
B = (10, -4) for D: y = -x + 6 -4 = -x + 6 x = 10
The coordinates of each of the four vertices are as follows: y = -x + 6; 4 = -x + 6; D = (2, 4) A (-2, -4), B (-10, -4), C (-4), and D (-2, 4)
The slopes of the sides of the square can be calculated to demonstrate that each angle within the square is 90 degrees. The angles formed by those sides are 90 degrees if the slopes are perpendicular.
AB's slope is:
m₂ = (y₂ - y₁)/(x₂ - x₁)
= (-4 - (- 4))/(10 - 2)
= 0/8
= 0
Slant of BC:
Slope of CD: m3 = (y2 - y1)/(x2 - x1) = (4 - (-4))/(10 - 10) = 8/0 (undefined).
Slope of DA: m4 = (y2 - y1)/(x2 - x1) = (4 - 4)/(2 - 10) = 0/(-8) = 0
As can be seen, the slopes of AB, BC, CD, and DA are either 0 or undefined. m5 = (y2 - y1)/(x2 - x1) = (-4 - 4)/(2 - 2) = (-8)/0 (undefined). A line that has a slope of zero is horizontal, while a line that has no slope at all is vertical. Since horizontal and vertical lines are perpendicular to one another, we can deduce that the sides of the square form angles of 90 degrees.
In this manner, we have shown that each point inside the square ABCD is equivalent to 90 degrees.
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you roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?
Answers
The probability that the sum of the numbers on the dice facing up add up to 3 is 1/18.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
probability = desired outcome / total outcomes
A 6-sided dice has numbers 1, 2, 3, 4, 5, 6 at each of the 6 sides.
The event of rolling two fair 6-sided dice, which the numbers on the dice facing up add up to 3, is by having (1, 2) or (2, 1).
probability = desired outcome / total outcomes
probability = 2 / (6 x 6)
probability = 2 / 36
probability = 1/18
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the mean corporation operates out of two major cities, city a and city b. it has a head office for each city and each office has thousands of employees. a computer competency exam is administered to all staff in each head office and the results are recorded. the ceo decides that he would like to compare the performance of the two offices. he labels the two groups of staff city a and city b and looks at their distribution of scores.The CEO is told that both City A and City B have the same mean score. However, City A is ____consistent than City B because the standard deviation for City A is _____ than the standard deviation for City B.
Answers
Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.
Define standard deviation.Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.
Here,
It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."
If City A is more reliable than City B, then City A will have a lower standard deviation.
A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.
So, the appropriate answer is:
The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.
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A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car
Answers
Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
From the given function in terms of D the elevation of the car above sea
level can be determined.
Responses:
The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.How can the linear function for the slope and intercept be interpreted?Given:
The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;
Elevation above sea level = 7500 - 250·D
Where;
0 ≤ D ≤ 6
Required:
The meaning of the slope and intercepts of the graph of the function.
Solution:
From the given linear function, of the elevation of the car, we have;
The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.Learn more about linear functions here:
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An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?
Answers
Answer:
25 pieces
Step-by-step explanation:
Given
\(Box_1 = 3\frac{1}{3}\)
\(Box_2 = \frac{5}{6}\)
\(Pieces = \frac{1}{6}\) yard
Required
Determine the number of pieces
First, we need to determine the total yards of paper
\(Total = Box_1 + Box_2\)
\(Total = 3\frac{1}{3} + \frac{5}{6}\)
\(Total = \frac{10}{3} + \frac{5}{6}\)
\(Total = \frac{20 + 5}{6}\)
\(Total = \frac{25}{6}\)
Divide by the size of the pieces to get the number of pieces
\(Number = Total/Pieces\)
\(Number = \frac{25}{6} / \frac{1}{6}\)
\(Number = \frac{25}{6} * \frac{6}{1}\)
\(Number = \frac{25}{1} * \frac{1}{1}\)
\(Number = 25\)
4 What transformation will the following function undergo? Click all that apply?y =- 2(x + 8)? – 5A) vertical stretch B) vertical compression C) reflection across the x-axis D) translated to the left 8 units E) translated to the right 8 units F) translated up 5 units G) translated down 5 units
Answers
Firstly, the function is shifted 5 units down because of the -5 at the end of the function. OPTION G
It is also translated 8 units to the left because +8 is added to x. OPTION D
The function is also vertically compressed. OPTION B
The graph will be depicted below:
It took 6 minutes to pick 24 apples. How many apples could be picked in 8 minutes at the same rate? Dennis said, "I should divide 24 by 6 to get a rate of 4 apples per minute. So, if I multiply 4 apples per minute by 8 minutes, the answer would be 32 apples." Which statement best describes Dennis' reasoning? A. Dennis is correct. B. Dennis is incorrect because he should've devided 6 by 24 to find the answer.. C. Dennis should have divided 8 by 4. D. He should've added 2 to 24.
Answers
It would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
Dennis' reasoning is incorrect.
To determine the rate of picking apples per minute, Dennis correctly divided the total number of apples (24) by the time it took (6 minutes), resulting in 4 apples per minute. However, his approach to calculating the number of apples that could be picked in 8 minutes is flawed.
Dennis multiplied the rate of picking apples per minute (4 apples) by the given time (8 minutes), assuming that the rate remains constant. This approach would be valid if the rate of picking apples per minute were constant, but in this scenario, it is not necessarily the case.
The rate of picking apples could vary depending on factors such as fatigue, efficiency, or other variables. Therefore, it is not accurate to assume that the rate of picking apples per minute remains the same over a longer duration of time.
To determine the number of apples that could be picked in 8 minutes, it would be more appropriate to multiply the rate of 4 apples per minute by the given time of 8 minutes. This would result in 32 apples, as Dennis correctly stated, but his reasoning behind this calculation was flawed.
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Which of the following is true given that 2.1 < 2.8?
A.
2.1 is to the right of 2.8 on a horizontal number line
B.
2.1 is at the same place as 2.8 on a horizontal number line
a.
2.1 is to the left of 2.8 on a horizontal number line
KDD
2.1 is the opposite of 2.8 on a horizontal number line
Answers
Answer:
\(\large \boxed{\mathrm{2.1 \ is \ to \ the \ left \ of \ 2.8 \ on \ a \ horizontal \ number \ line}}\)
Step-by-step explanation:
\(2.1<2.8\)
\(\sf 2.1 \ is \ lesser \ than \ 2.8.\)
\(\sf A \ number \ that \ is \ lesser \ than \ another \ number \ is \ to \ the \ left \\ \ of \ that \ number \ on \ a \ horizontal \ number \ line.\)
Answer:1 is to the left of 2.8 on a horizontal number line
Step-by-step explanation:
Compute the area of triangle, if x equals 3 less than 6
Answers
Answer:
C
Step-by-step explanation:
I think its c because it said x = 3 less than 6, what is three less than 6? 3 so if you were to plug in 3 for x so bc = 3 and ab = 6 you multiply those two together but when you are doing area for a triangle its 1/2 bh so how i do this is i multiply 6 and 3 and get 18 and divide that by 2 and my final answer is 9. Hope this works, let me know if it doesnt!
Of the 300 students in the Spanish Club in the county, predict how many are 9th graders.Enter the correct answer in the box.
Answers
The exact number of 9th graders in the Spanish Club cannot be predicted based solely on the given information. Additional data regarding the grade level distribution or proportions would be required to make a reliable estimation.
Without additional information, it is not possible to determine the exact number of 9th graders in the Spanish Club. The given information states that there are 300 students in the Spanish Club in the county, but it does not provide any specific breakdown of the number of students in each grade level.
To accurately predict the number of 9th graders, we would need information such as the distribution of students across grade levels or the proportion of 9th graders in the Spanish Club. Without this information, any prediction would be speculative and not based on actual data.
In summary, the exact number of 9th graders in the Spanish Club cannot be predicted based solely on the given information. Additional data regarding the grade level distribution or proportions would be required to make a reliable estimation.
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The complete question is:
If there are 300 students in the Spanish Club in the county, predict how many are 10th graders.
In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.
Answers
Answer:
The answer is 49.
Step-by-step explanation:
\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}
sinK=
hypotenuse
opposite
=
5.8
4.4
\sin K = \frac{4.4}{5.8}
sinK=
5.8
4.4
K=\sin^{-1}(\frac{4.4}{5.8})
K=sin
−1
(
5.8
4.4
)
K=49.343\approx 49^{\circ}
K=49.343≈49
find the quote that for -6•(-8)
Answers
Answer:
0.75
Step-by-step explanation:
The two negatives cancel each other out and divide like normal. 6 divided by 8 equals 3/4 or 0.75.
Chandler's little sister got a new playhouse shaped like a rectangular prism for her birthday, and she is obsessed! She asks Chandler to play with her at least twice per day, which he wouldn't mind as much if the playhouse weren't so small. The playhouse is only 2.5 meters long, 2.5 meters wide, and 2 meters tall. What is the playhouse's volume? Write your answer as a whole number or decimal. Do not round. cubic meters
Answers
Therefore , the solution of the given problem of volume comes out to be the playhouse's volume is 12.5 cubic metres as a result.
What is volume, exactly?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Liter and in3 are these signs for cubic measurements. Nonetheless, it is possible to determine an object's measures by estimating its bulk. Usually, the item's weight is transformed into mass quantities like grammes and kilogrammes.
Here,
We must multiply the rectangular prism's length, breadth, and height collectively in order to determine its volume.
=> Capacity is calculated using the formula LWH.
=> Volume = 2.5*2.5 *2 metres.
=> Dimensions: 12.5 cubic metres
The playhouse's volume is 12.5 cubic metres as a result.
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(-12, -2) and (k, 8)
Answers
Answer: The answer is -2
Step-by-step explanation: Common sense
PLEASE HELP I WILL MARK BRAINLIEST!!!! :)
Answers
Answer:
your answer is D
plz mark me as brainliest
The gravitational potential energy of an object is given by the formula P = mgh.
Which equation is correctly solved for the height, h?
h = P + mg
h = P - mg
h = P/mg
h = Pmg
Answers
Answer:
c
Step-by-step explanation:
....................
in the figure below X is best described as a
Answers
Answer:
Idk
Step-by-step explanation:
Idk
Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)
Answers
Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
\(\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}\)
__
Additional comment
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
What is the value of x?
30 points if answered
Answers
Answer: 20
Step-by-step explanation: They are both equal to each other, so 3x+50=6x-10. Then just solve for x by canceling out both sides.
find the surface area of the cylinder and round to the nearest tenth
Answers
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
2. Estefan wanted to buy a stereo that was half-off the regular price of $150. How much was the stereo's sale price?
Answers
The Selling Price of the Stereo will be $75
What is Selling Price and Cost Price?Cost Price is defined as the amount that is paid to purchase an article or the price at which an article is made is known as its cost price. The cost price can be abbreviated as C.P.
Selling Price is defined as the price at which an article is sold to the customer. The selling price is abbreviated as S.P.
Profit and Loss can be estimated through Selling Price and Cost Price.
Profit =Selling Price-Cost Price ,only when the selling price is greater than the Cost price.
Loss= Cost Price- Selling price , only when the cost price is greater than the Selling price.
Step by step explanation
As we know that the Cost Price=$150
and Selling Price is 50% of Cost Price
∴Sale Price will be $75
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Please help!!
Concert tickets cost $25 each. A college student ordered some
tickets online. There was a service charge of $3 per ticket. The total came
to $252. How many tickets did the student order?
Answers
What is one solution to the systems of linear equations?
Answers
Answer:
Graph 1. (4, 4).
Graph 2. (4, -4).
Step-by-step explanation:
The solution is the point where the lines intersect.
Noah spent $190 on books. Math books cost $26 and English books cost $28. If he bought a total of 7 books, then how many of each kind did he buy?
Answers
Answer:
he bought three math books and four english books
Step-by-step explanation:
26x3=78 (three books)
28x4=112 (four books)
112+78=190
A student wrote four statements during math class. Which statement contains an error?
Answers
Answer:
C
Step-by-step explanation:
The answer is C if you multiply (a)38×18=684
(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answers
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
Find the solution set to the inequality.
4x - 1 < 11
Answers
Add 1 to both sides
4x < 12
Divide both sides by 4
x < 3
x is less than 3
Answer:
x < 3
Step-by-step explanation:
Isolate the variable, x. Treat the < sign as an equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 1 to both sides of the equation:
4x - 1 (+1) < 11 (+1)
4x < 11 + 1
4x < 12
Next, divide 4 from both sides of the equation:
(4x)/4 < (12)/4
x < 12/4
x < 3
x < 3 is your answer.
`
What does circle triangle square mean ?
Answers
Circle, Triangle, Square are basic shapes that are commonly used in mathematics, art, and design. They are considered the building blocks of more complex shapes and designs.
In mathematics, Circle, Triangle, and Square are often used as examples to teach basic geometric concepts such as perimeter, area, and volume. Students learn how to calculate the properties of these shapes, including the length of their sides and their angles.
In art and design, Circle, Triangle, and Square are used to create compositions and patterns. These shapes can be combined to create more complex designs, and they are often used to create logos and symbols. The shapes also have symbolic meanings and can be used to represent different ideas and concepts.
The value of Circle, Triangle, and Square lies in their versatility and simplicity. They can be used to teach basic geometric concepts and to create complex designs, making them an essential tool for anyone interested in mathematics, art, and design.
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