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3 years ago

What is the domain of y=tan x?

1 answer:

8 0

The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π/2+πn for all integers n . The range of the tangent function is all real numbers.

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Question 10 of 33

Eva8 [605]

A tessellation that uses only one type of regular polygon.

<h3>What is Polygon?</h3>

The definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.

When we cover a surface with a pattern of a flat geometric shapes such that there should have no overlaps or gaps, then the surface is called a tessellation.

A regular tessellation is tessellation made up by using only one type of regular polygon. These are made up of entirely congruent regular polygons all that joining vertex to vertex.

Hence, A is the correct option.

Learn more about Polygon from:

brainly.com/question/10441863

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5 0

2 years ago

Find w and y, will give brainliest for the correct answer

Alex Ar [27]

Answer: w=12, y=6√3

Step-by-step explanation:

Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.

In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.

The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.

x√2=8

x=8/√2

x=5.7 or 6 [Let's use 6 so that it is easier to work with a whole number]

Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.

w=2x

w=2(6)

w=12

We know the leg opposite of 60° is x√3. We can plug in x.

y=6√3

7 0

4 years ago

HELP PLS Match each graph with the logarithmic function it represents

SIZIF [17.4K]

Each graph has been matched with the logarithmic function it represents as follows:

f(x) = 3 - 4In (x-2) = graph 3.

f(x) = 3 - Inx = graph 1.

f(x) = In(x + 1) = graph 4.

f(x) = 2In(x + 3) = graph 2.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

Periodic function

Inverse function

Modulus function

Signum function

Piece-wise defined function.

Logarithm function

<h3>What is a logarithm function?</h3>

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:

f(x) = 3 - 4In (x-2) = graph 3.

f(x) = 3 - Inx = graph 1.

f(x) = In(x + 1) = graph 4.

f(x) = 2In(x + 3) = graph 2.

Read more on logarithm function here: brainly.com/question/13473114

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3 0

2 years ago

Part 3: Write the equation of and graph an ellipse.

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

(y-k)²/a² + (x-h)²/b² = 1

with

center (h,k)

vertices (h,k±a)

co-vertices (h±b,k)

foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

(y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

8 0

3 years ago

Write the equation of a line perpendicular to y= -5/6x-3 and whose y-intercept is (0,11).

worty [1.4K]

Answer:

y=6/5x+11

Step-by-step explanation:

Perpendicular lines have the opposite sign and reciprocal of the original line. Since the y-intercept is 11 we know that it is 6/5x+11

8 0

3 years ago

What is the domain of y=tan x?​

What is the domain of y=tan x?