Which functions are symmetric with respect to the origin?

y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer 1

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

Answer 2

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13710437


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Answer:

There are several different sorts of pacifism, but they all include the idea that war and violence are unjustifiable, and that conflicts should be settled in a peaceful way.

...

Pacifism

religious faith.

non-religious belief in the sanctity of life.

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Step-by-step explanation:

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Answers

Answer:

A: 3

B: 1

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Step-by-step explanation:

A: The arrows should be a giveaway; you're distributing the 3 into the parentheses.

B: Step shows adding 12, and only one of those properties has anything to do with addition, the addition property of equality. The property basically says that if we already know that 6x - 12 is equal to 18, then if we add any number to both sides (given that the same number is added to both sides), the two sides will still be equal. The other properties, for subtraction, multiplication, and division work the same way except with a different operation.

C: Step shows multiplying both sides by 2, so it's the multiplication property of equality.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Rebecca took a total of 12 quizzes over the course of 3 weeks. How many weeks of school will Rebecca have to attend this quarter before she will have taken a total of 24 quizzes? Assume the relationship is directly proportional.

Answers

Answer:

6 weeks

Step-by-step explanation:

If you look at the information it gives you, you can see it says 12 quizzes in 3 weeks and she needs 24 quizzes. So every 3 weeks she does 12 quizzes, and if you add 12 and 12 you get 6 weeks.

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You plug in numbers -3 to 3 into the x variable of the equation and then plot those points

y = -2x

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X = -2 y = (-2)(-2) = 4

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In case that looks a little cluttered here are the points to graph:

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Answers

Answer:

10

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

6(14 + 7).

Distribute

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

volume = L × B × H

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The final two steps used to convert units between different systems of measurement are given by;

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To answer this question, let us take an example of converting from inches to centimeters.

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Read more at; https://brainly.com/question/17773791

Answer: The final two steps used to convert units between different systems of measurement are given by;

Option C; 4. Multiply the original measure by the conversion factors.

5. Check for reasonableness

To answer this question, let us take an example of converting from inches to centimeters.

Let us convert 10 inches to centimeters.

First step is to identify the measure to be converted which in this case it is inches that is the measure.

Second step is to write the conversion factors which is;

1 inch = 2.54 cm

Third step is to cancel the units; In this case the units to be canceled will be inches.

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Step-by-step explanation:

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Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Annie and Ellie are each saving for college. Their grandmother gave
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Answers

Answer:

Annie will have $87.75 more than Ellie

Step-by-step explanation:

Annie :

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Ellie :

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Multiply all three together to get the answer

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Hope you find my answer helpful!

Answer:

332.50

Step-by-step explanation:

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Answers

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[tex]d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 }\\\\[/tex]

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Answers

Answer:

d = 8

Step-by-step explanation:

Given

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Answer:

d=8

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8+4d=5d

1. subtract 8 from both sides > 8+4d-8=5d-8

2. simplify > 4d=5d-8

3. subtract 5d from both sides > 4d-5d=5d-8-5d

4. simplify again > -d = -8

5. divide both sides by -1 > -d/-1 = -8/-1

6. simplify again > d=8

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Answers

Answer:

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Answer:

I'd use a ruler to get the line of best fit looking better, but other then that, good job- you did great.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1 is in the ones place

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Answers

Answer:

You would need 250 bottles to collect $10.

Step-by-step explanation:

10 bottles / 25 cents = 0.4 cents per bottle

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Answer:

25 cents x 40 bottles =10.00

Step-by-step explanation:

25 cents = 10 bottles

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