What law can be used to determine that the conclusion is valid based on the
given statements?
Given: All dogs like biscuits. Sammy is a dog.
Conclusion:
Sammy likes biscuits
A.Law of Syllogism
B.The conclusion is not valid.
C. Law of Detachment
D. Law of Converse

Answers

Answer 1

Answer:

b

Step-by-step explanation:

the conclusion is not valid

Answer 2

The statement follows the law of detachment.

What are sets?

In mathematics, a set is nothing more than a collection of distinct things that make up a group. Any collection of items—numbers, days of the week, vehicle types, etc.—can be included in a set. An element of the set is any item in the set. When writing a set, curly brackets are used. This would be a simple illustration of a set.

Given statement All dogs like biscuits. Sammy is a dog.

Conclusion:

Sammy likes biscuits

follows the law of detachment,

The Law of Detachment states that if the following two statements are true:

if A then B

a third factual assertion can then be derived:

Let A be the statement "All dogs like biscuits", let B be the statement "Sammy is a dog"

by the Law of Detachment, we can say that B is true.

that is Sammy likes biscuits.

Therefore, by the law of detachment, the statement is true.

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Related Questions

is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.

Answers

Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Using complete sentences, describe the net of a rectangular prism with a length of 11 centimeters, a width of 9 centimeters, and a height of 6 centimeters.

Please help 20 points.

Answers

Answer:

109.5cm²

Step-by-step explanation:

The formula to this equation is SA = 2lw + 2lh + 2wh

So...

SA = 2(11 x 9) + 2(11 x 6) + 2(9 x 6)

= 49.5 + 33 + 27

= 109.5cm²

Help with brothers math homework?I can't help because I forgot how to do this​

Help with brothers math homework?I can't help because I forgot how to do this

Answers

Answer:

See below.

Step-by-step explanation:

The range of a graph is the span of y-coordinates the graph covers.

From the graph, we can see that the graph covers all y-values between the values of y=-8 and y=7.

Therefore, the range is all of the numbers in between them including them.

In interval notation, this is:

\([-8,7]\)

We use brackets instead of parentheses because we include the numbers.

And in set notation, this is:

\(\{y|-8\leq y\leq 7\}\)

Answer:

Hey there!

The range is the possible y values.

Thus, we see here that the range is all numbers from -8 to 7.

Let me know if this helps :)

Brian deposited $2,419 into a savings account for which interest is compoundedquarterly at a rate of 2.54%. How much interest will he earn after 7 years? Roundanswer to the hundredths place. If answer does not have a hundredths place theninclude zeros so it does. Do not include units in the answer.

Answers

Given

Principal = $2419

rate = 2.54%

time = 7 years

compounds quarterly

\(\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=2419(1+\frac{0.0254}{4})^{4(7)} \\ A=2419(1.00635)^{28} \\ A=2888.08 \end{gathered}\)

After 7 years, the amount deposit is now $2888.08, subtract by the principal amount to get the interest.

\(\begin{gathered} I=A-P \\ I=2888.08-2419 \\ I=469.08 \end{gathered}\)

Therefore, the interest that he will earn after 7 years us $469.08.

convert 3cm to mm show all working out​

Answers

Answer:

30 mm

Step-by-step explanation:

1 centimeter (cm) is one hundredth of a meter

1 millimeter (mm) is one thousandth of a meter

Thus one cm is 10 times bigger, so 3cm = 30mm

3cm in to mm is 30, explanation: multiply the length value by 10, centimeters to millimeters you would need to multiply by 10, 3x10= 30 mm!

Question 5 ? Question What does the point (6,0) represent? O the length of time it takes for the height of the plant to reach 72 centimeters O the initial amount of plant food O the amount of plant food used each day O the length of time it takes for Ryan to use all the plant food​

Answers

The point (6,0) represent the length of time it takes for Ryan to use all the plant food

What is Time ?

Time is a continual and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.

The location and value of x at which the function represented by f(x) equals zero are known as the x-intercept.

The height of the bean sprout and the quantity of plant food added were both measured, per the information given.

Given the observational aspect of the experiment, we know that the function of the variable y = f(x) is the height of the bean sprout, and the variable x, which may be chosen by the researcher, is the amount of the additional plant food.

As a result, the x-intercept, which represents the experiment's starting position (represented by the natural numbers of y = 0), shows how much plant food was initially added to the soil.

Hence, The point (6,0) represent the length of time

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The point (6, 0) represents the initial amount of plant food, which is 0 at this point.

When representing a point in the form (x, y), the x-coordinate typically represents a quantity or value on the horizontal axis, while the y-coordinate represents a quantity or value on the vertical axis.

The point (6,0) means that the x-coordinate is 6, which corresponds to a specific value or measurement along the horizontal axis.

Since the context of the question refers to plant food, the x-coordinate of 6 likely represents a measurement related to the amount of plant food.

The y-coordinate, in this case, is 0, indicating that there is no height or value represented on the vertical axis.

Therefore, (6, 0) represents the initial amount of plant food, which is 0 at this point.

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Tiffany compared the graph of y = 7x + 2 to the graph of the linear function
shown in the table.
What is the distance, in units, between the y-intercepts of the two
functions?

Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, . ., and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a
decimal

Tiffany compared the graph of y = 7x + 2 to the graph of the linear functionshown in the table.What is

Answers

Answer:

0

Step-by-step explanation:

so we first have to find the ummmm the slope intercept form for the graph

sooo we must get two points and use the equation y2 - y1/ x2 - x1

(4,15) and (6, 31)

31 - 15/ 6 - 4

16/2

8

sooo rn its:

y = 8x + b

now to find the y-intercept we have to input a point we did NOT use yet.

(8, 47)

47 = 8(8) + b

47 = 64 + b

b = 47 - 64

b = -17

the equation for the table is

y = 8x - 17

soo the y-interecept is when x is 0 so we have to use the equation y2 - y1/ x2 - x1 to find the distance

sooo

(0, 17) [for the table] and (0, 2) [from the equation y = 7x + 2)

17 - 2/0-0

15/0

0

ummm i tried my best here because im learning about something different and i hope this helps you and i hope this is correct!

817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?

Answers

The number of men living in the village is 260.

How do you solve a linear equation system?

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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for a statistics project, judith distributed a questionnaire and asked her classmates to fill it out. 7 of them did. is this sample of the students in the class likely to be representative?

Answers

It depends on several factors, including the size of the class and the method used to select the sample of 7 students.

If the class size is small, say less than 20 students, then a sample of 7 students might be representative if the selection method used is random. In this case, each student in the class would have an equal chance of being selected, and the sample would likely represent the diverse opinions and characteristics of the entire class.

However, if the class size is large, say over 100 students, a sample of 7 students is unlikely to be representative of the entire class. In this case, the sample may not accurately reflect the opinions and characteristics of the entire class, and there is a higher likelihood of selection bias.

In summary, a sample of 7 students may be representative if the class size is small and the selection method used is random. But, it is generally not representative if the class size is large.

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What value of c in the equation 7c-cy=10x will give a line
with slope +5?

Answers

The value of c in the equation 7c - cy = 10x will give a line with slope +5 is -2.

We can rewrite the equation as:-

-cy = 10x - 7c

y = (-10/c) x + 7

Now the equation is in slope-intercept form which is given by:-

y = mx + b

Where,

m represents the slope of the line

b represents the y-intercept of the line

(x,y) represents ordered pair of each point of the line

Comparing both the equations, we get

m = -10/c

b = 7  

We have to get m = +5

Hence, equating both the values of m, we get

5 = -10/c

c = -10/5

c = -2

Hence, the value of c is -2.

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Help will make branliest

Help will make branliest

Answers

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.

x - 1/3 = 6


Give your answer as an improper fraction.

Answers

Answer:

19/3 (6 1/3)

Step-by-step explanation:

x - 1/3 = 6
x = 6( or 18/3) + 1/3
x = 19/3

The range of the following relation R {(3,-2), (1, 2), (-1, -4), (-1, 2)} is
O{-1, 1, 3}
O {-1, -1, 1,3}
O {-4, -2, 2, 2}
O{-4, -2,2}

Answers

Answer:

(-4,-2,2)

Step-by-step explanation:

The range of the relation R is {-4, -2, 2}.

Correct option is 4.

What is Range?

It is seen to be the best practice to define the word "range" the first time it is used in a book or article because it might have several different meanings. When the word "range" is used in older literature, it frequently refers to what is today known as the co domain. If more recent texts use the phrase "range" at all, they typically do so to refer to what is now known as the image. Several contemporary books don't use the word "range" at all to avoid any misunderstandings.

As per the given data:

Relation R is  {(3,-2), (1, 2), (-1, -4), (-1, 2)}.

The collection of all a function's outputs defines its range.

The number on the y coordinate is what we know to be the range.

It is given that

r {(3, -2), (1, 2), (-1, -4), (-1, 2)}

Here the range is

{-2, 2, -4, 2}

As 2 is repeated, take it once

By rearranging from least to greatest

R: {-4, -2, 2}

∴ The range is {-4, -2, 2}.

Hence, the range of the relation R is {-4, -2, 2}.

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Someone please help me.
10=7x+4-4x​

Someone please help me. 10=7x+4-4x

Answers

Answer:

x=2

Step-by-step explanation:

x=2. First, you would combine like terms, making the expression state 3x+4=10. Then, subtract 4 from both sides. 3x=6. Divide by 3 on both sides to isolate x. x=2

Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).

Answers

Using the concept of the slope of a linear function, we have that:

For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points in the graph of a function, the slope is given by change in y divided by change in x, hence:

For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.

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Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.

Answers

Answer:

10

Step-by-step explanation:

For movie mania:

Sign-up fee = $ 20

Rent for 1 DVD = $ 4.00

For Hurricane video:

Sign-up fee = 0

Rent of 1 DVD = $ 6.

Let \(n\) be the number of DVDs to rent in order for both stores to charge the same.

For movie mania, charge to rent \(n\) DVDs = Sign-up fee + rent of \(n\) DVDs

=20+4n

For Hurricane movie, charge to rent \(n\) DVDs = Sign-up fee + rent of \(n\) DVDs

=0+6n=6n

Now, for both stores to charge the same, both the charges must be equal, we have

6n=20+4n

\(\Rightarrow 6n-4n=20\)

\(\Righatarroe 2n=20\)

\(\Rightarrow n =20/2=10\)

Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.

If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

a rectangle is 4 times a long as it is wide. if the length of the third side?

Answers

the length and breadth of the rectangle is L = 4, B =16

Let L and B stand for length and width, respectively.

a rectangle is 4 times a long as it is wide

L=4B …….(1) (1)

L1 and B1 should represent the revised length and width.

L1=(L+4)

B1=(B-1)

Area = L1 + B1 + 60.

=> (L+4)×(B-1)=60 …….(2) (2)

Using (1)-

=> (4B+4)×(B-1) =60

=> 4×(B^2–1) = 60

=> B^2–1 = 15

=> B^2 = 16

=> B = +4 or -4

B=4 inches because breadth is always positive.

L = 4 B = 16 inches.

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Alan, Ben and Craig, who have three distinct ages, are among five children running a race. Assuming there are no ties, in how many different orders can the five children fnish the race with Alan, Ben and Craig in order from oldest to youngest?

Answers

There are 2 different orders in which the remaining two children can finish the race.

Since Alan, Ben, and Craig must finish the race in order from oldest to youngest, their positions are fixed. We need to determine the number of arrangements for the remaining two children among the other two.

There are two remaining children who can finish in any order. We can calculate the number of arrangements using the formula for permutations of two objects:

P(2, 2) = 2!

The factorial of 2 is:

2! = 2 × 1 = 2

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In exercises 41 - 43, AB ⊥ BC. Find the value of x.​

In exercises 41 - 43, AB BC. Find the value of x.

Answers

Remember, perpendicular lines or segments form rights angles to one another.
That means angle ABC is right or 90 degrees.

To solve for x, subtract 68 degrees from 90 degrees.
x = 24 degrees.

A small town's phone numbers either begin 373 or 377. How many phone numbers are available? A. 20,000. B. 10,000 C. 30,000 D. 40,000

Answers

The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.


We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

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When you rewrite an addition or subtraction problem using the Distributive Property, you have to ______ both values by a common factor, usually the GCF.

Answers

When you rewrite an addition or subtraction problem using the Distributive Property, you have to factor out both values by a common factor, usually the GCF.

This process involves identifying the common factor (the greatest common factor, or GCF) of the terms and then applying the Distributive Property to rewrite the expression. This common factor can be the greatest common factor (GCF) if it exists, but it does not have to be. The goal is to find a factor that is common to both terms, so that it can be factored out and the expression can be simplified.For example, consider the expression 6 + 8. We can rewrite this using the distributive property by factoring out 2, which is a common factor of both 6 and 8:6 + 8 = 2(3) + 2(4)Then, we can simplify the expression by adding the like terms:2(3) + 2(4) = 6 + 8 = 14Note that in this example, we factored out the common factor 2, which is not the GCF of 6 and 8 (the GCF is 2). However, factoring out 2 allowed us to simplify the expression using the distributive property.

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The equation y - 5 = 6(x+1) is written in point-stope form. What is the equation written in slope-intercept form?

A. y = 6x + 11
B. y = 6x - 1
C. y = 6x - 4
D. y = 6x + 6

Answers

Answer:

A

Step-by-step explanation:y-5=6(x+1)

y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11

Find the value of x ​in the given figure

Find the value of x in the given figure

Answers

Answer:

32°

Step-by-step explanation:

Its pretty strait forward.

2x + 60° + 3x - 40° = 180°

5x + 20° = 180°

5x = 160°

x = 160°/5

x = 32°

Actually I am from India, Please Mark me as brainliest.....

What is the equation of the line through (−2, −2) and (4, −5)? A.y = 12 1 2 x – 1 B.y = –12 1 2 x – 3 C.y = 2x + 2 D.y = –2x – 6

Answers

Answer:

y=7x−5

Explanation:

We have; y=x4+2x2−x

First we differentiate wrt x;y=x4+2x2−x

∴dydx=4x3+4x-1

We now find the vale of the derivative at (1,2) (and it always worth a quick check to see that y=2 when x=1) we have dydx=4+4−1=7

So at the tangent passes through the coordinate (1,2) and has gradient m=7

We now use y−y1=m(x−x1) to get the equation of the tangent:

∴y−2=7(x−1)

∴y−2=7x−7

∴y=7x−5

Can someone help me with this j can’t find the right answer

Can someone help me with this j cant find the right answer

Answers

\(\cfrac{6}{7}\div \left(-\cfrac{11}{2} \right)\implies \cfrac{6}{7}\cdot \left(-\cfrac{2}{11} \right)\implies -\cfrac{12}{77}\)

Increase £200 by 25%

ill give u brainlist

Answers

Answer:

250

Step-by-step explanation:

First we need to find the 25% of £200

200 × 25 ÷ 100 = 50

200 + 50 = 250

This is just a different way of doing it:

Answer: 250

Explanation: 200 x 0.25 = 50 200 + 50 =250

Noel is a type of leader who organizes and defines what employees should be doing to maximize output. For example, at the morning status meeting, everyone goes around the room and shares what has happened overnight with the computer system and whether or not there are any change requests in the queue. Regardless of how many issues there seem to be, Noel says, "We can solve anything." What type of leader is Noel?

Answers

After considering the given data we conclude that Noel is considered to be a transformational leader, under the condition that Noel organizes and defines what employees should be doing to maximize output.

According to the  information  provided, Noel is an imperative example of a transformational leader. Transformational leaders are referred for their crucial ability to inspire and motivate their followers to achieve their full potential and surpass their own expectations. They are also considered for their ability to make a positive work environment that encourages creativity and innovation.
Some distinct characteristics of Transformational leaders are
1. Openness to new thinking
2. Talent for broadening minds
3. Commitment to active listening
4. Tolerance for intelligent risks
5. Willingness to accept responsibility
6. Trust in team members
7. Ability to inspire participation
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Determine the magnitude of each vector: • Use "sqrt()" to denote ✓ • If you use a decimal approximation, you must be accurate to at least 3 decimal places. a. ||(6, 10) || = b. ||(-2, 10)|| = C. ||(12, -10)|| = d. ||(-8, -13)|| = 7 : <2,2>

Answers

The magnitude of each vector are =

a. ||(6, 10)|| ≈ 11.662

b. ||(-2, 10)|| ≈ 10.198

c. ||(12, -10)|| ≈ 15.620

d. ||(-8, -13)|| ≈ 15.264

To determine the magnitude of each vector, you can use the formula:

||v|| = √(v₁² + v₂²)

a. For vector (6, 10):

||(6, 10)|| = √(6² + 10²) = √(36 + 100) = √(136) ≈ 11.662

b. For vector (-2, 10):

||(-2, 10)|| = √(-2)² + 10²) = √(4 + 100) = √(104) ≈ 10.198

c. For vector (12, -10):

||(12, -10)|| = √(12² + (-10)²) = √(144 + 100) = √(244) ≈ 15.620

d. For vector (-8, -13):

||(-8, -13)|| = √(-8)² + (-13)²) = √(64 + 169) = √(233) ≈ 15.264

Therefore:

a. ||(6, 10)|| ≈ 11.662

b. ||(-2, 10)|| ≈ 10.198

c. ||(12, -10)|| ≈ 15.620

d. ||(-8, -13)|| ≈ 15.264

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Explain to someone who has forgotten the even-odd properties of sinusoidal functions how the addition and subtraction formulas can determine this characteristic for f (x) = sin(x) and g(x) = cos(x). (Hint: 0 − x = − x )

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Therefore, From the above equations, we can see that sin(x) is odd, and cos(x) is even. To summarize:
sin(-x) = -sin(x) (odd function), cos(-x) = cos(x) (even function)

To understand the even-odd properties of sinusoidal functions, let's first recall that an even function satisfies f(-x) = f(x) and an odd function satisfies f(-x) = -f(x).
Now, consider the sinusoidal functions f(x) = sin(x) and g(x) = cos(x). We can use the addition and subtraction formulas for sine and cosine to determine their even-odd properties.
The addition and subtraction formulas are as follows:
1. sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
2. cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
Let a = x and b = -x. Then, we get:
1. sin(x - x) = sin(x)cos(-x) + cos(x)sin(-x)
2. cos(x - x) = cos(x)cos(-x) - sin(x)sin(-x)
Since sin(-x) = -sin(x) and cos(-x) = cos(x), we can simplify:
1. sin(0) = sin(x)cos(x) - cos(x)sin(x) => 0 = 0
2. cos(0) = cos(x)cos(x) + sin(x)sin(x) => 1 = cos^2(x) + sin^2(x)

Therefore, From the above equations, we can see that sin(x) is odd, and cos(x) is even. To summarize:
sin(-x) = -sin(x) (odd function), cos(-x) = cos(x) (even function)

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