To translate an entire triangle, you need to first identify the coordinates of the triangle's vertices.
calculate the vector of the translation by subtracting the coordinates of the original triangle from the coordinates of the translated triangle. Finally, apply the vector to each of the triangle's vertices to move the entire triangle.
1. Identify the coordinates of the triangle's vertices (x1, y1, x2, y2, x3, y3).
2. Calculate the translation vector by subtracting the coordinates of the original triangle from the coordinates of the translated triangle (x1T, y1T, x2T, y2T, x3T, y3T).
3. Apply the vector to each of the triangle's vertices to translate the entire triangle. This can be done by adding or subtracting the vector from the original coordinates of the triangle's vertices.
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What is expressions Class 8 maths?
Expression is a constant, variable or constant multiplied by a variable separated by operator.
What is algebraic expression and identity?Identity, as we all know, is equality, which holds true regardless of the variable's value. These identities are algebraic formulas that show that for all possible values of the variable, the Left-Hand Side (LHS) and the Right-Hand Side (RHS) of the equation are equal. A phrase that can have any value is called a variable.
What are the types of algebraic expressions?Monomial, polynomial and binomial are the three types of algebraic expression.
An expression with variables, constants, and algebraic operations is known as an algebraic expression (like subtraction, addition, multiplication, etc.). Terms comprise expressions. For instance: 5x+20y, 6-8x.
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What is the slope of 5x y =- 7?
Answer:
-5
Step-by-step explanation:
The slope is -5
5x + Y = -7
-5x
=
Y= -5x - 7
to guarantee that cans of soda are properly filled, some cans are sampled and the amounts measured. the overall average for the samples is 12 ounces. each sample contains 10 cans. the average range is 0.4 ounces. the lower control chart limit for the sample averages would be
Energy sources that are non renewable include coal, natural gas, oil, and nuclear power.
What is Nonrenewable Resources?Since we currently rely on these resources to meet the majority of our energy needs, their exhaustion and inability to be replenished poses a serious issue for humanity.Human society depends on both nonrenewable and renewable resources for its everyday energy needs. Renewable resources can naturally replenish themselves, but nonrenewable resources cannot. This is the main distinction between these two types of resources. Due to their finite availability, nonrenewable resources cannot be used responsibly.Nuclear energy, coal, natural gas, and oil are the four main categories of nonrenewable resources. Fossil fuels refer to the three fuels that make up coal, natural gas, and oil. The name "fossil" comes from the fact that fossil fuels were created deep inside the Earth over the course of millions of years from decomposing plants and animals. They are discovered in the silt and rock layers below the earth's surface. Crude oil, also known as petroleum, coal, and natural gas were produced by the pressure and heat combined with the remains of plants and animals.The Complete Question is Nonrenewable Resources.
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a gardener bought 5 geraniums and 3 lilies from a nursery that had 14 geraniums and 12 lilies. determine how many choices the gardener has
The number of choices the gardener has is 440440
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula for combination is [tex]^nC_r[/tex] = n! / r!(n - r)1
We have,
Number of geranium = 14
Number of lilies = 12
Number of geranium bought = 5
Number of lilies bought = 3
The number of choices.
= [tex]^{14}C_5 \times ^{12}C_3[/tex]
= (14 x 13 x 12 x 11 x 10)/(5 x 4 x 3 x 2) x (12 x 11 x 10)/(3 x 2)
= 14 x 13 x 11 x 2 x 11 x 10
= 440440
Thus,
The number of choices is 440440.
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What is the slope angle of Y 3x 1?
The level of a line's slope indicates its steepness, here θ = [tex]tan^{-1/3}[/tex] is the slope angle of Y = 3x + 1.
How do one find the slope of a graph?The slope is computed mathematically as "rise over run" (change in y divided by change in x).
In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.
Now, given that,
Y = 3x + 1 ........ (1)
slope intercept form equation is: y = mx+c ........... (2)
next, if we compare (1) and (2)
it comes out to be
m = 3 representing slope
and c = 1 representing y-intercept.
now, slope angle: tan θ = m (slope)
tan θ = 3 [putting the value of m]
θ = [tex]tan^{-1/3}[/tex]
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The complete question is as follows:
What is the slope angle of Y = 3x + 1?
ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN
ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT
$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE
STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?
O
The yield of stock at yesterday's closing price is 3.43%.
What is Annual Dividend?Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.
Given,
Annual dividend = $1.20
Today's closing price = $34.50
Net change = -$0.50
Let x be yesterday's closing price.
Net change = Today's closing price - yesterday's closing price
⇒ -0.50 = 34.50 - x
⇒ x = 34.50 + 0.50
⇒ x = 35
Yield = [tex]\frac{Annual dividend}{Price}[/tex] × 100
= [tex]\frac{1.2}{35}[/tex] × 100
= 3.4286 % ≈ 3.43 %
Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.
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What is the minimum value of the function f x )= 16x 2 )- 16x 28?
The minimum value of the given function f(x) = 16x² −16x+28 is 24.
What are the Maxima and Minima of a Function?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.
To find the minimum value of the function f(x) = 16x² −16x+28 using the derivative method, you can start by taking the derivative of the function. The derivative of a quadratic function is given by:
f'(x) = 2ax + b
In this case, the derivative of the function f(x) is:
f'(x) = 2×16x - 16
To find the minimum value, we need to find the x value that makes the derivative equal to zero. Setting the derivative equal to zero and solving for x gives us:
216x - 16 = 0
32x = 16
x = 0.5
Now that we have the value of x that minimizes the function, we can plug this value back into the original function to find the minimum value:
f(0.5) = 16×(0.5)² - 16(0.5) + 28 = 4 - 8 + 28 = 24
Therefore, the minimum value of the function is 24.
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Your friend is training for a triathlon. On one training day she swam 1500 m, rode a bike for 47 000 m and ran 14 km. How many kilometers were completed?
She completed one training day in a triathlon- 62.5 km.
Convert meter to kilometer :
1 kilometer = 1000 meter
⇒ 1 meter = [tex]\frac{1}{1000}[/tex] kilometer
On a training day, she swam = 1500 meter
= [tex]\frac{1500}{1000}[/tex] kilometer
= 1.5 kilometer
She rode a bike = 47000 meter
= [tex]\frac{47000}{1000}[/tex] kilometer
= 47 kilometer
She ran = 14 km
We may get the total distance by adding the distances she covered with swimming, riding, and running.
∴ Total distance she covered for a triathlon = ( 1.5 + 47 +14) km
= 62.5 km
She completed one training day in a triathlon - 62.5 km.
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What is the formula for area and volume?
Area: The total space covered by the two-dimensional surface of an object, or a flat shape is called an area.
Many different area formulas are available to get the area of various two-dimensional shapes. We can also get a shape's area by counting the number of unit squares that cover the whole surface of the object.
This method helps us to learn and make out the concept of area.
The unit of area is forever measured in square units like square centimeters, square meters, square inches, and so on.
Volume: The space enclosed within the object or the space covered by any three-dimensional solid object is known as volume.
To find the volume, we divide the occupied space into equal cubical units and calculate the total occupied cubical units, The unit of volume can be in a cubic centimeter, cubic meter, cubic inches, and so on.
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What are the advantages of being a multinational corporation? check all that apply. Expansion into new marketsaccess to cheaper laborcreation of a trade surplusreliance on unskilled workerslower tax payments.
The advantages of being a multinational corporation are mentioned below.
Multinational corporations (MNCs) have several advantages:
Expansion into new markets: MNCs can expand their operations into new markets around the world, which can increase their revenues and profits.
Access to cheaper labor: MNCs can take advantage of lower labor costs in different countries by setting up operations in those countries. This can help them reduce their overall production costs and increase their competitiveness.
Creation of a trade surplus: MNCs can create a trade surplus by exporting more than they import. This can benefit the economies of the countries where they operate by generating foreign exchange and creating jobs.
Lower tax payments: MNCs can reduce their tax payments by taking advantage of lower tax rates in different countries and by using tax havens.
Note that relying on unskilled workers is not necessarily an advantage of being an MNC, as it may not be the most efficient or effective way to operate. In fact, many MNCs rely on skilled workers in order to produce high-quality products and services.
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Below are some benefits of working for a multinational firm.
Multinational businesses (MNCs) benefit from a number of factors:
Expansion into new markets: MNCs can broaden their business activities into other geographies, which can boost their earnings.
Access to cheaper labor: By establishing operations there, MNCs can benefit from lower labor costs in other nations. They can become more competitive and lower their overall production costs as a result.
Making a trade surplus: By exporting more than they import, MNCs can make a trade surplus. Through the production of foreign exchange and the creation of jobs, this can help the economy of the nations where they are present.
Lower tax obligations: MNCs can lower their tax obligations by utilizing tax havens and nations with lower tax obligations.
I WILL MARK BRAINLIEST IF CORRECT!!
Home values are expected to decreased by 3% per year. Hadlee Recently purchased a home for $200,000. Which of the following equations can be used to represent the value of the home x years after the purchase?
A) f(x) = 200000(1.03)^x
B) f(x) = 200000(0.97)^c
C) f(x) = 3(1.03)^x
D) f(x) =3(0.97)^x
Answer:
B
Step-by-step explanation
Multiplying by 0.97 will decrease $200,000 to $194,000.
^c is x years after the purchase, so having (0.97)^c will make the $200,000 value decrease more and more.
please helpp with my math question
Answer:
11.1
Step-by-step explanation:
sin 46 · x = 8
0.71934 x = 8
x = 8/0.71934
x = 11.121306
What is the vertical asymptote of y 1x − 5?
The vertical asymptote of y = 1x - 5 is x = 5, since the denominator becomes zero when x = 5 and the function is undefined at this point.
The vertical asymptote of y = 1x - 5 is x = 5. This is because when x = 5, the denominator of the function (1x - 5) becomes zero, and the function is undefined at this point. As a result, the vertical asymptote is x = 5. This can be seen by taking the limit of the function as x approaches 5 from either side. As x approaches 5 from the left, the limit of the function is negative infinity, and as x approaches 5 from the right, the limit of the function is positive infinity. Thus, the vertical asymptote of y = 1x - 5 is x = 5, since the denominator becomes zero when x = 5 and the function is undefined at this point.
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What is the median of the following numbers 24 23 25 21 24 27?
The median for the data is 24.
Median is the middle value of the set of data when the data is arranged in an ascending order.
The median of a data has a higher frequency if the data is distributed symmetrically.
We will arrange the given data in ascending order as 21, 23, 24, 25 and 27.
Also, the number of values here is 5, which is an odd number. As we know if the number of values is odd in a data, then the middle value will be the median.
For 5 numbers, the middle value will be the number from either side.
In the given data, as we can see that the value is 24, so 24 will be the median for the data.
Hence, the median for the data is 24.
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consumer reports rated airlines and found that 71% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 213 flights. (round your answers to two decimal places.) what is the expected number that will arrive on time? what is the standard deviation of this distribution?
The expected number that will arrive on time is; 151.23
The standard deviation of this distribution is; 6.62
How to find the mean and standard deviation?We are given;
Percentage of the flights involved in the study arrived on time; p = 71% = 0.71
Sample size; n = 213
Now, the formula for the mean which is the expected number that will arrive on time is;
μ = np
μ = 213 * 0.71
μ = 151.23
The formula for the standard deviation of the distribution is;
σ = √(np(1 - p))
σ = √(213*0.71(1 - 0.71))
σ = 6.62
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What is the answer for 2 to the power of 1?
Answer:
2
Step-by-step explanation:
Any number to the power of 1 is that number itself, thus 2 to the power of 1 is 2.
Step-by-step explanation:
an exponent always means how often the base (or base number) is multiplied by itself.
like
3⁴ = 3×3×3×3
5³ = 5×5×5
x⁵ = x×x×x×x×x
so,
x¹ = x
for every value of x.
and therefore
2¹ = 2
A new road that connects uniontown to springville is 413 miles long. What is the change in distance when using the new road instead of the dirt roads? write your answer as a mixed number.
In mixed number form, the change in the distance when using the new road instead of the dirt roads is 2 1/12 miles lesser.
To determine the change in the distance when using the new road instead of the dirt roads, we need to find the difference between the distance of the new road and the distance of the dirt roads.
The distance of the dirt roads is the sum of the two measurements given, which is 2 3/8 + 3 5/6 = 5 15/24 miles.
The change in the distance when using the new road instead of the dirt roads is the difference between the distance of the new road and the distance of the dirt roads, which is 4 1/3 - 5 15/24 = -2 2/24 miles.
In mixed number form, the change in the distance when using the new road instead of the dirt roads is -2 and 2/24 = -2 1/12 miles.
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What is the 4 types of arithmetic?
Addition, subtraction, multiplication and division are four type of arithmetic
Mention other arithmetic.Beside mentioned above exponential and modulus operations are also arithmetic
Why it is called arithmetic?The Greek noun arithmos, which means "number," is where the word arithmetic ultimately comes from. Along the way, it also appeared in Latin, Anglo-French, and Middle English. Even elementary mathematics has a rich vocabulary. Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations.
So addition,multiplication, subtraction and division are 4 types of arithmetic
2+2=4
2*2=4
2/2=1
2-2=0
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What is the SSS theorem?
ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? 1,527 ft3 3,054 ft3 12,215 ft3 24,429 ft3
The approximate volume of the greenhouse will be 1,527 ft³.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Ellen's greenhouse is in the shape of a hemisphere.
And, The diameter of the floor is 18 feet.
Now,
Since, Ellen's greenhouse is in the shape of a hemisphere.
We know that;
⇒ The volume of Hemisphere = (2/3) πr³
Here, The diameter of the floor is 18 feet.
Hence, The radius of the floor = 18/2
= 9 feet
So, We get;
⇒ The volume of Hemisphere = (2/3) πr³
⇒ The volume of Hemisphere = (2/3) × 3.14 × 9³
= 1,527 ft³
Thus, The approximate volume of the greenhouse = 1,527 ft³
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If m/RXU = 52°, then what is m/SXU?
2
X
UA
The measure of angle SXU is m ∠SXU = 128°.
What is linear angles?
If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles. Angles that share a vertex are said to be adjacent.
Given: m ∠RXU = 52°
We have to find the measure of angle m ∠SXU.
Let RS and VW are two lines intersects by a transversal TU.
∠3 and ∠4 are adjacent to each other after the intersection of the two lines.
Since the sum of angles of a linear pair is always equal to 180°.
⇒ ∠3 + ∠4 = 180°
52° + ∠4 = 180°
∠4 = 180° - 52°
∠4 = 128°
Hence, the measure of angle SXU is m ∠SXU = 128°.
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How can you prove that two triangles are similar in a circle?
To prove two triangles are similar in the given circles need to prove that intercepted arc formed by the pair of angles should be equal or same.
As given in the question,
Two triangles formed in the circle are similar required following steps to prove it correct:
Pairs of angles should have the same or equal intercepted arc in the given circle.Angle formed by same or equal intercepted arc are congruent to each other .Using AA theorem of similarity we can say two triangles formed in the circle are similar if and only if they have same intercepted arc.Therefore, to prove the two triangles are similar in the circle need to prove they have same intercepted arc formed by the pair of angles.
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Is the equation a linear equation in two variables √ 2x √ 5y 16?
Yes , it Is the equation that is a linear equation in two variables √ 2x √ 5y 16
The equation of standard linear equation in two variables can be expressed as
ax + by + c = 0
here,
a, b,c are real numbers.
Power of x and y are 1,So named linear equation.
It must be sure that non of a and b is equal to zero.
If either of a and b is equal to zero,then the equation becomes linear equation in one variable.
Solution of linear equation in two variables:
If only one equation is given,then infinite many solutions are present.
If two equations are given,then three type of solutions are present:
Unique situation
Infinite many solutions
No solution
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What is the value of X if X 35 :: 48 60?
Answer:
Hence, x=28.
Step-by-step explanation:
Here are the first four terms of a sequence
4 , 11 , 22 , 37
find an expression, in terms of n, for the nth term of this sequence
Answer:
Step-by-step explanation:
Determine an algebraic expression for the nth term of the following sequence.
A set of 3 figures are connected squares. Figure 1 is a column of 5 squares next to a column of 3 shaded squares. Figure 2 is figure 1 with an additional column of 3 shaded squares to the right. Figure 3 is figure 2 with an addition column of 3 shaded squares to the right to make 9 shaded squares.
Match the equation with the correct form.
Slope-Intercept Form
Point-Slope Form
Standard Form
1. ax + by = c
2. y+y₁ = m(x + x1)
3. y = mx + b
4. y - y₁ = m(x − x₁)
The equation of a line in different forms are:
1. The slope-intercept form: y = mx + b.
2. The point-slope form: y - y₁ = m(x − x₁).
3. The standard form: ax + by = c.
What is the Equation of a Line?There are three ways that an equation that represents a line can be written in, they are as follows:
1. The slope-intercept form: this is expressed as y = mx + b. In this form, we have the following values and what they each represent:
m = the slope of the line.
b = the y-intercept of the line,
x and y are the coordinates of a point on the line.
2. The point-slope form: this is expressed as y - y₁ = m(x − x₁). In this form, the variables represented are:
m = the slope of the line.
x₁ and y₁ are the coordinates of a point that the line passes through.
3. The standard form: this is expressed as ax + by = c. In this form, the variables a, b, and c are integers.
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What is the formula for solving a triangle?
The law of cosines generalizes the Pythagorean formula to all triangles. It says that c^2, the square of one side of the triangle, is equal to a^2 + b^2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
c^2=a^2 + b^2 - 2abcosC
Pythagorean formula
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
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The weight of 2apple i 400 gram. I ate one apple of 150 gram. Find the weight of the other apple
The weight of the other apple is 250 grams.
As per the given data:
The weight of 2 apples is 400 gram.
The weight of 1 apple is 150 grams which I ate.
We have to determine the weight of the other apple.
Subtract the weight of 1 apple from weight of 2 apples
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers
One value is 400 and the other value is 150.
Means subtract 150 from 400.
The weight of the other apple = Weight of 2 apples - The weight of 1 apple
= 400 - 150
= 250 grams
Therefore the answer is 250 grams.
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Identify the sample space of the probability experiment and determine the number of outcomes in the sample space Randomly choosing an even number between 1 and 10, inclusive
The sample space is______. (Use a comma to separate answers as needed. Use ascending order) There are________outcome(s) in the sample space.
Answer:
Step-by-step explanation:
Sample Space
off even numbers
= {2,4,6,8,10}.
There are 5 outcomes in the sample space,
What is a set in UK school?
Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
Now, According to the question :
Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}. Also, check sets here.
Sets can be represented in three forms:
1. Roster Form: Example- Set of even numbers less than 8={2,4,6}
2. Statement Form: Example-A = {Set of Odd numbers less than 9}
3. Set Builder Form: Example: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 4}
What are the types of Sets?
A set has many types, such as;
1. Empty Set or Null set
2. Finite Set
3. Infinite Set
4. Equal Set
5. Subsets
6. Universal Set
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