divide y⁴-2y³-7y²+8y+12 by (y-3) using long division method
please give answer​

Answer: 110 degrees

Step-by-step explanation:

The general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex]. The sine and cosine of an acute angle are utilized to find the angle of the triangle.

The sine and cosine of an angle are trigonometric functions. In the context of a right triangle, the sine and cosine of an acute angle are used to find the angle of the triangle.

The standard general equation of a sine function is given as;

[tex]\rm y= AsinB(x-C)+D[/tex]

Where A denotes the amplitude, B is the frequency, D is the vertical shift and  C is the phase shift.

The given data in the problem is;

A is the amplitude= 2

B is the frequency=2

D is the vertical shift =0

C is the phase shift.=[tex]\pi[/tex]

The general equation is found as;

[tex]\rm y= 2sin(2(x-\pi)[/tex]

Hence the general equation of the sine function is [tex]\rm y= 2sin(2(x-\pi)[/tex].

To learn more about the sin function refer to the link;

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Answer:

  72°

Step-by-step explanation:

The required angle of rotation can be found by considering the regular polygon to be inscribed in a circle. Each of its 10 vertices will be separated by a central angle of 360°/10 = 36°. So, the vertices a8 and a4 will be separated by a central angle of (8 -4)(36°) = 144°.

The angle a4-a1-a8 is an inscribed angle, so will have half the measure of the central angle intercepting the a4-a8 arc. The desired angle of rotation to map a4 to a8 is ...

  α = 144°/2 = 72°

The value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

A polygon is a geometric figure with a finite number of sides in two dimensions. A polygon's sides or edges are made up of straight-line segments that are joined end to end to form a closed shape. The vertices or corners are the points where two line segments meet, and an angle is generated as a result.

Consider the regular polygon to be inscribed in a circle to get the required angle of rotation.

A center angle of 360°

=360°/10 = 36°

It will separate each of its 10 vertices.

The central angle:

= (8 - 4)×(36°) = 144°

An inscribed angle is a4-a1-a8:

So α will be:

α = 144/2 ⇒ 72°

Thus, the value of angle α is 72° if the regular polygon is inscribed in a circle and rotation centered at a_1

Learn more about the regular polygon here:

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#SPJ4

Formula for inverse of matrix:

matrix              →           inverse matrix

[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 =1/9

so

1/3 divided by 1/3 is 1/9

Rewrite as ;

[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]

[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]

[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]

[tex]{:\implies \quad \sf 160+25}[/tex]

[tex]{:\implies \quad \boxed{\bf 185}}[/tex]

Answer:

0864

Step-by-step explanation:

The answer is 0864.

Hope it helps!

Study well!

The expression x^2 + 9 is an algebraic expression

x^2 + 9 cannot be factored because it is not a difference of two squares

The expression is given as:

x^2 + 9

Express 9 as the square of 3

x^2 + 3^2

The above expression is not a difference of two squares

Hence, x^2 + 9 cannot be factored because it is not a difference of two squares

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The Prism has a larger surface area than the pyramid.

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

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B: A perspective drawing

Answer:

B. perspective drawing.

Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.

Answer:

34

Step-by-step explanation:

In order to solve this problem, you would have to plug-in 4 in letter c.

So the equation would go from:

c² + 6c - 6 to

(4)² + 6(4) - 6

4 to the square power is 16

6 times 4 is 24

So you would write this equation next
16 + 24 - 6

after adding and subtracting you should get 34 as your final answer.

Hope this helps!

SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

34

Step-by-step explanation:

In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:

(4)^2+6(4)-6

Remember to follow PEMDAS when solving it.

(4)^2 --> 4*4=16

6(4)=24

16+24-6=34

So, your final answer would be 34.

Answer:

angle BCD = 108

Step-by-step explanation:

opposite angles in a cyclic quadrilateral add to 180

so angle BDC is 180 - 72 = 108

what are the angles 32 and 114 there for??

Answer:

52.

Step-by-step explanation:

shaded = (3²) + (2²)

shaded = 9 + 4

shaded = 13

Unshaded = (3 x 2) + (2 x 3)

Unshaded = 6 + 6

Unshaded = 12

All = 12 + 13

All = 25

100 / 25 = 4

4 x 13 = 26 x 2

26 x 2 = 52.

Answer:

48%

Step-by-step explanation:

25 total boxes

12 are filled

12/25=48%

Answer:

y=5.96

Step-by-step explanation:

You can do a reverse equation and do 7.23 - 1.27 = 5.96

Answer:

should be 4L

Step-by-step explanation:

there is 4 cups with 1L of water in them so you add them up to get the total amount .

Answer:

4 Liters

Step-by-step explanation:

1. Create Equation

1L+1L+1L+1L

2. Solve

1L+1L+1L+1L

1+1+1+1

2+1+1

2+2

4

3. Check

1+1+1+1=4

2+2=4

4=4

Correct

4. Answer

4L

Answer:

7.5

Step-by-step explanation:

15×12=180

180÷24(crayons per box)=7.5 boxes

Answer:

-3/4 x -3

Step-by-step explanation:

Put all Answer choice on graph:

-3/4 x -3

-4/3 x - 3

-3/4 x -4

Base on the graphs below:

we can see that -3/4 x -3 is the best represents..

~Lenvy~

how many feet are in one yard?

=3 feet

Answer:

3 Feet

Step-by-step explanation:

Answer:

$25,626.53

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 8.5% into a decimal:

8.5% ->  -> 0.085

Now lets plug in the values into the equation

Lastly, subtract the total from the initial balance:

Michelle earned $25,626.53 in interest.

By using the definition of even and odd functions, we will see that:

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

So this function is odd.

b)  f(x) = |-x|

This function is even.

c) f(x)=25-x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

This function is even.

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Answer: Let SP of 15 candles = Rs.100. CP of 12 candles = SP of 15 candles = Rs.100 CP of 15 candles = = Rs.125 Loss = CP – SP = 125 – 100 = 25 = 20% 10.

Step-by-step explanation: This was a simple answer also CP means sale price

Work Shown:

A = P*(1+r/n)^(n*t)

A = 800*(1+0.18/12)^(12*2)

A = 1,143.60224954321

A = 1,143.60

Notes:

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Answer:

Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.

Step-by-step explanation:

California  often  needs the following minimum insurance coverage:

The phrase minimum coverage in terms of car insurance policy is known to be the bodily injury liability and property damage liability that one has to cover.  

It is known to often differ per state. Note that all the minimum coverage requirements above are paid by the person who cause the accident.

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Answer:

6 1/2 (mixed) or 25/4 (improper)

Step-by-step explanation:

Firstly, I made the mixed number an improper fraction; 5/4

Then I did the equation;

5/1 x 5/4 = 25/4

25/4 is 6.25 when divided, then made it a fraction; 6 1/4

Hope this helps!

Answer:

CD = 13.75

Step-by-step explanation:

Focus on only half of the rectangle as a triangle

We'll use pythagorean theorem to find the unknown side

[tex]10^{2} +CD^{2}=17^{2}\\CD^{2} = (17^{2} - 10^{2})\\CD^{2}=\sqrt{189} \\CD = 13.75[/tex]

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

Answer:

P = 48in

Step-by-step explanation:

P=4a=4·12=48in