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Hatshy [7]
3 years ago
10

Which functions are symmetric with respect to the origin?

Mathematics
1 answer:
Damm [24]3 years ago
3 0

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.

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Greatest perfect square of 150
Elodia [21]

Answer:

21

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can anyone help me ? I just need the numbers
Nimfa-mama [501]

Answer:

<em>(-6, 0) and  (0, 1.5)</em>

<em></em>

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 =  1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

<em>Hence the required points to plot to get the required line are  (-6, 0) and  (0, 1.5)</em>

<em></em>

7 0
3 years ago
Y=23x+5 and<br><br> y=x+3<br><br> what is the solution
kondor19780726 [428]

Answer:

I solved this like you would a system of equations - if that is not the answer you need LMK

Point form:

(- 1/11, 32/11)

Equation Form:

x = -1/11, y = 32/11

Step-by-step explanation:

8 0
3 years ago
The weight of each cookie in a batch of a certain type of commercially produced cookie follows an approximately normal distribut
melisa1 [442]

Answer:

Around 34.14% of the cookies are between 11.32 and 11.35 grams.

Step-by-step explanation:

In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.

7 0
2 years ago
What is the answer for this
Eva8 [605]
1). 2x-1=5 (cause x can really be anything) solve the equation to get x=3 or in this case, triangle = 3.

2). Using the info from above, we get the equation 3+x=1.
Solving this equation we get, x (square) =-2.

3). Using all the info from the above problems we get the equation: 3-2*-2=x
Solving that we see that x (star) equals 7.

In conclusion:

Triangle=3
Square=-2
Star=7
7 0
3 years ago
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