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3 years ago

Which of the functions have period pi?

Mathematics

1 answer:

Stels [109]3 years ago

8 0

ANSWER

A.) y = tan x

C.) y = cot x

EXPLANATION

The period refers to the interval over which the graph completes one cycle

The trigonometric functions

$y = \tan(x)$

and

$y = \cot(x)$

are reciprocals of each other.

They have the same period, which is π

Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.

They have periods of 2π

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I need help on these question ASAP!!!! This is Urgent

GarryVolchara [31]

Part 1: The equation of the line is $y=2x+1$

Part 2: The equation of the line in slope intercept form is $y=-3x-1$

Explanation:

Part 1: It is given that the point A is $(1,3)$ and the line B is $y=2 x-2$

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is $m=2$

Substituting the point $(1,3)$ and $m=2$ in slope intercept form $y=mx+b$ , we have,

$3=2(1)+b$

$3=2+b$

$1=b$

Thus, the y-intercept is $b=1$

Let us substitute the values $m=2$ and $b=1$ in the slope intercept form $y=mx+b$ , we get,

$y=2x+1$

Thus, the equation of the line passing though point A and parallel to line B is $y=2x+1$

Part 2: The given two coordinates are $(-1,2)$ and $(1,-4)$

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is $b=-1$

The formula for slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the coordinates $(-1,2)$ and $(1,-4)$ , we have,

$m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3$

Thus, the slope is $m=-3$

Substituting the values $b=-1$ and $m=-3$ in the slope intercept formula $y=mx+b$ , we get,

$y=-3x-1$

Thus, the equation of the line in slope intercept form is $y=-3x-1$

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3 years ago

The survey shows 300 teens that were surveyed, from ages 15-18, what their first choice would be for an elective in high school.

alisha [4.7K]

Answer:

Step-by-step explanation:

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2 years ago

Can someone help me with this plz so i could get it over with thanks brainliest for first person and correct answer

insens350 [35]

The rate of change for function A is 2. It would originally be 2 over one but you can just simplify it down to 2. The rate of change for function B is 3. Which would also originally be 3 over 1.

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2 years ago

Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?

lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

<em>Third side < 8 + 15</em>

<em>Third side < 23</em>

<em>It means 3rd side must be less than 23</em>

<em>Case 2: Let 15 cm is the largest side.</em>

15 - 8 < Third side

7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

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3 years ago

What is the square root of A=121 ft2

storchak [24]

The result of the square root of the equation A = 121 ft² is √A = 11 ft

<h3>What are square roots?</h3>

Square roots are numbers multiplied by itself to give another number

<h3>How to determine the square root?</h3>

The equation is given as:

A = 121 ft²

Take the square root of both sides

√A = √121 ft²

Evaluate the square root

√A = 11 ft

Hence, the square root of the equation A = 121 ft² is √A = 11 ft