The algebraic description of the transformation of B(x, y) = B'(y + 0, 0 - x)
The algebraic description of the transformation of K(x, y) = K'(y + 0, 0 - x)
The endpoints of the new line segment are B'(4, -1) and K'(-3, -4).
As per the given data BK has endpoints B(1, 4) and K(4, -3).
Rotate BK clockwise 270 degrees about the origin.
Every point of a source image is transformed in a plane via a rotation that rotates it around a fixed point at a specific angle and direction. The fixed point is referred to as the rotational center.
The term "angle of rotation" refers to the rotation's amount and is expressed in degrees.
Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees anticlockwise.
Now, it would be (x, y) = (-y, x)
We have;
R (x, y) to R' (y, -x)
The algebraic description is simply written as;
R (x, y) = R'(y + 0, 0 - x)
B (x, y) = B'(y + 0, 0 - x)
K (x, y) = K'(y + 0, 0 - x)
To get the new endpoints, we simply write the transformation as shown;
B(1, 4) becomes B'(4, -1)
K(4, -3) becomes K'(-3, -4)
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What is the value of f in a function?
A function is generally indicated by f.
What is function?A mathematical expression that indicates a relationship between an independent variable and a dependent variable.
In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.
What is the value of f in a function?A function is generally, expressed by letters such as f, g and h and so on.
It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.
For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)
The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.
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Complete question is: What is the value of f in a function?
Help me explain this question
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
what is variation ?Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.
given
the population of the bugs
b is the no. of bugs = 50 . [tex]3^{t}[/tex]
t is the no. of weeks they first counted
so this question explains
the range of population estimates
Is there a trend in the variation of estimates
Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .
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please help me with this!!
Answer: The answer is no, they are not proportional
Step-by-step explanation:
Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05
Please provide an explanation
If [tex]$\mathrm{x} \neq 3$[/tex], the expression [tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}$[/tex] is equivalent to [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].
What is meant by expression?A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.
A mathematical sentence with variables, numbers, or both is known as an expression. Operation can also be a part of an expression, although an equal sign is never present in an operation. A mathematical expression that demonstrates the equality of two expressions is called an equation. There is a sign of equality in equations.
An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.
Let the equation be
[tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}[/tex]
simplifying the equation, we get
[tex]$& \text { Divide } \frac{2 x^3+7 x^2-3 x-25}{x+3}=2 x^2+\frac{x^2-3 x-25}{x+3} \\[/tex]
[tex]$& =2 x^2+\frac{x^2-3 x-25}{x+3}[/tex]
[tex]$& \text { Divide } \frac{x^2-3 x-25}{x+3}=x+\frac{-6 x-25}{x+3} \\[/tex]
[tex]$ =2 x^2+x+\frac{-6 x-25}{x+3}[/tex]
Divide [tex]$\frac{-6 x-25}{x+3}=-6+\frac{-7}{x+3}$[/tex]
[tex]$=2 x^2+x-6+\frac{-7}{x+3}$$[/tex]
Simplifying the equation, we get
[tex]$=2 x^2+x-6-\frac{7}{x+3}$$[/tex]
Therefore, the correct answer is option 1) [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].
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There is a line that includes the point (9,–8) and has a slope of –19. What is its equation in point-slope form?
Answer:
y +8 = -1/9(x -9)
Step-by-step explanation:
You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.
Point-slope formThe equation of the line through point (h, k) with slope m is ...
y -k = m(x -h)
You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...
y +8 = -1/9(x -9)
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y
Answer:
515 x + 285 y = 11080
x + y = 30
Step-by-step explanation:
2) You roll one die. What is the probability that you roll a 6?
A) 1/2
B) 1/4
C) 1/6
D) 2/6
Answer: c 1/6
Step-by-step explanation
Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6
Solve the system of equations by the addition method.
4x-5y=22
3x +2y = - 18
Using the provided equations, Applying the addition method in the system of equations, The answer is x=-2 and y =-6.
What do you mean by equation?An equation is a statement of equality between two expressions, usually containing one or more variables. Equations can be used to express mathematical relationships and can be solved to find the value of the variables. Equations can take many forms, such as linear equations, quadratic equations, and differential equations. They can also be represented graphically.
What is the addition method to solve system of equations?The addition method to solve a system of equations is a way to solve a system of two linear equations by adding them together. The goal is to eliminate one variable by adding or subtracting the equations. We can eliminate one variable by adding the equations together. To do this, we'll add the left-hand side of the first equation to the left-hand side of the second equation and add the right-hand side of the first equation to the right-hand side of the second equation. It is important to note that the addition method works only when the coefficients of the variable you want to eliminate are opposite in sign.
4x-5y=22
3x+2y=-18
multiplying first equation with 3 and second equation with 4 and subtracting them , we eliminate x and solve for y,
y=-6
put y=-6 in first equation , we get x,
x=-2
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Find the length of the third side. If necessary, round to the nearest tenth
Answer:
Step-by-step explanation:
Let AB = 3 units , BC = 1 unit and AC = ? (TO BE CALCULATED)
By Pythagoras theorem:
(AC)²=(AB)²+(BC)²
therefore, (AC)²= 3²+1²
(AC)²=9+1
(AC)²=10
(AC) = √10 = 3.03 cm
write as the opposite of a square root: -2 times square root of 3
the answer would be -144
you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144
How many 1/9s can go into 2?
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
well, you didnt give me any numbers or variables, so ill do it like this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink
Step-by-step explanation:
In SHORT BINGO, a $5\times5$ card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares. Specifically, a card is made by placing 5 numbers from the set $1-10$ in the first column, 5 numbers from $11-20$ in the second column, 4 numbers $21-30$ in the third column (skipping the WILD square in the middle), 5 numbers from $31-40$ in the fourth column and 5 numbers from $41-50$ in the last column. One possible SHORT BINGO card is: To play SHORT BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards. A player wins when he marks 5 in a row, horizontally, vertically, or diagonally. How many distinct possibilities are there for the values in the first row of a SHORT BINGO card
The first row of the SHORT BINGO card contains 5 numbers, one from each of the sets $1-10$, $11-20$, $21-30$, $31-40$, and $41-50$. Since the WILD square is in the middle of the card, it does not affect the possibilities for the first row.
A probability simple definition is what?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
For the first column, there are 10 possibilities, as it can contain any number from the set $1-10$.
For the second column, there are 10 possibilities, as it can contain any number from the set $11-20$.
For the third column, there are 9 possibilities, as it can contain any number from the set $21-30$ except the one already used.
For the fourth column, there are 10 possibilities, as it can contain any number from the set $31-40$.
For the fifth column, there are 10 possibilities, as it can contain any number from the set $41-50$.
The total number of distinct possibilities for the values in the first row of a SHORT BINGO card is the product of the possibilities for each column, which is:
10 * 10 * 9 * 10 * 10 = 90000.
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Blair has a box of candy to sell. She has 4 chocolate bars, 4 fruit chews, 1 pack of bubble gum and 3 sour candies. If she chooses a piece of candy at random, how many possible outcome are there?
Answer:
12 possible outcomes
Step-by-step explanation:
The equation to find the possible outcomes is:
possible outcomes x total
We know she picks 1, so we have
1 x 12 = 12 possible outcomes
So, there are 12 possible outcomes
Drag each tile to the correct box.
Arrange the balls in order from greatest amount of gravitational potential energy to least.
A
B
C
A
0-
A
D
B
E
V
C
F
LL
>
D
LLIE
V
LL
F
V
Answer: Ball A, B, C, F, E, D
Step-by-step explanation:
An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.
This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.
So, the order is as follows: Ball A, B, C, F, E, D
What is the value of F (- 3 2 where F x )= 4x2 3x 7 2?
The value of F (- 3 2 where F x )= 4x2 3x 72 is:
F ( -3) = - 27 and F (2) = - 62
What is function?In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.
As per the given function F(x), x is the independent variable and F (x) is the dependent variables.
generally, we write F(x) = y
What is the value of F ( -3, 2) for the function given in question?given, F (x) = 4x² - 3x -72
F (x) is a function of x
for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72
F (- 3) = - 27
again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72
F (2) = - 62
from the above calculation, we find (-3, 2) are domain of function F (x) and
(- 27, -62) are ranges of the above function.
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A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?AABABBBABBBBBBBBABBBABBBBBBBBAABBABBAABBBBBABBBBBBBBBBBBBABBABBABABABABBABABABABABABABABAAABBABBBABBBBBBBBABBBABBBBBBBBB
A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.
How will outcome be decided?The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.
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What is the area in square units?
By geometric formulas, the gray square has an area of 25 square units.
How to determine the area of the gray squareSquares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:
A = l²
Where l is the length of the side of a square, in units.
All the required lengths are represented in the image attached below. First, determine the side length of the gray square:
7 + x = 12
x = 12 - 7
x = 5
The gray square has four sides with a length of 5 units.
Second, determine the area of the gray square by means of square formula:
A = x²
A = 5²
A = 25
According to area formula for squares, the area of the gray square is equal to 25 square units.
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a gardener is starting a new square garden and will enclose it with 100 meters of fencing. he wants to determine the area of this garden let A represent the area of the garden in square meters
The area of the garden is 625 square meters.
What is perimeter?We know that the perimeter of a square is equal to the sum of all four sides. Since the gardener is using 100 meters of fencing to enclose the garden, and since the garden is a square, we can set the perimeter equal to 100 meters:
P = 4s
100 = 4s
Where P is the perimeter, and s is the length of one side of the square.
We can solve for s by dividing both sides of the equation by 4:
s = 100/4 = 25
Since the area of a square is equal to one side of the square squared, we can find the area of the garden by squaring the value of s:
A = s^2
A = 25^2
A = 625
So the area of the garden is 625 square meters.
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Karen drew a triangle The longest side of Karen's triangle measures 8 inches What must be true about the lengths in inches a and b of the two shorter sides of Karen'sHow many triangles can be drawn with side lengths 3, 5, and 9
The 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.
What is hypotenuse in a Triangle?n a triangle, the longest side (the hypotenuse) is opposite the largest angle, and the other two sides are opposite the smaller angles. According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the length of the third side. So, if the longest side of Karen's triangle measures 8 inches, it means that the sum of a and b (the two shorter sides) must be greater than 8 inches. Therefore [tex]a+b > 8 inches[/tex].
For the second part of your question, only one triangle can be drawn with side lengths 3, 5, and 9. The three numbers 3, 5, and 9 form a Pythagorean triple, meaning they can be used as the lengths of the sides of a right triangle. Since the longest side (the hypotenuse) must be greater than the other two sides, the 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.
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Make the mathematical expressions. Simplify them and find the correct answers. a) The total cost of 4 pens at Rs 20 each, 5 pencils at Rs 5 each and 2 boxes at Rs 60 each.
Answer:
Step-by-step explanation:
Cost of 1 pen = 20 rupees
Cost of 4 pens = 20 x 4 = 80 rupees
Cost of 1 pencil = 5 rupees
Cost of 5 pencils = 5 x 5 = 25 rupees
Cost of 1 box = 60 rupees
Cost of 2 boxes = 60 x 2 = 120 rupees
therefore, total cost = 80 + 25 + 120 = 225 rupees
Can someone please help me with this?
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
How to solve the equation?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the location of this point.
The result of the first equation is
x + 6y = 25
we can easily solve for x by subtracting 6y from both sides we have
x + 6y - 6y = 25 - 6y
x - 25 - 6y
So, the first equation's x term can be simply solved.
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
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Which two lines have the same slope
Answer: B
Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1
Which expression represents the length of the hypotenuse C of the triangle below
Answer:
[tex] \sqrt{a {}^{2} + b {}^{2} }[/tex]
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.
A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders.
A survey participant is randomly selected. Let S be the event that the participant’s first motor vehicle had six cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(S and T)?
0.06
0.12
0.24
0.30
answer. is A 0.06
√
18
−
√
2 simplify far as possible
Answer:
2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
A catering company is setting up tables for a big event that will host 764 people when they set up the tables they need 2 forks for each child and 5 forks for each adult the company ordered a total of 2992 forks set up a system of equations involving the number of adults,a and the number of children,c and solve to find out how many of each attended the event
Answer:
488 adults and 276 children
Step-by-step explanation:
So, we need two linear equations here to start, and we do have them.
Our first linear equation tells us how we get the number of forks:
2c + 5a = 2992
And the second tells us the number of people there:
c + a = 764
I will solve this using substitution. We start by minusing a from both sides in the second equation, giving us:
c = 764 - a
Then, we will substitute this into our first equation, giving us:
2(764 - a) + 5a = 2992
Then, we will open the parentheses, giving us:
1528 - 2a + 5a = 2992
Combining like terms and subtracting 1528 from both sides gives us:
3a = 1464
Dividing by 3:
a = 488
So there were 488 adults. Then, we take our original second equation and substitute 488 for a, giving us:
488 + c = 764
Minus 488 from both sides gives us:
c = 276
So, there were 276 children. In total, we had 488 adults and 276 children.
Hope this helped!
A high school has a population of 2,035 students and is increasing by 3% each year.
Write an exponential function to model the student population in terms of the number of years from now.
Predict the number of students that will be in the school after five years. Show all of your work.
The student population in the school can be modeled using an exponential function of the form:
P(t) = 2,035 * 1.03^t
where P(t) is the student population t years from now, and 1.03 is the factor by which the population increases each year.
To predict the number of students in the school after five years, we can substitute t = 5 into the function:
P(5) = 2,035 * 1.03^5
= 2,035 * 1.1895
= 2,408.76
Thus, there will be approximately 2,408.76 students in the school after five years.
What additional information would be necessary to determine sin A?
We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
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The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
when 7/11 is written as a decimal what is the sum of the fisrt twenty digits after the decimal point
PLEASE i relaly need help I just got brainly
I give twenty points
The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.