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CaHeK987 [17]
3 years ago
8

(factoring polinonomials) help help help help help help please:(((​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
I think it’s b sorry if I’m wrong
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Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.
valentinak56 [21]

Answer:

Step-by-step explanation:

given the expression;

cos(2x) = cos(x)

According to trig identity;

cos(2x) = cos(x+x)

cos(2x) = cos x cos x - sinx sinx

cos(2x) = cos²(x)-sin²(x)

cos(2x) = cos²(x)-(1-cos²x)

cos(2x) = cos²(x)+cos²x-1

cos(2x) = 2cos²(x)-1

2cos²(x)-1 = cos(x)

let P = cosx

2P²-1 = P

2P²-P-1 = 0

Factorize;

2P²-2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P - 1 = 0 and P-1 = 0

P = 1/2 and 1

cosx = 1/2 and cos x = 1

x = arccos 1/2

x = π/3

Also;

x = arccos1

x = 0

Hence the value of x are 0 and  π/3

Also the angle = π+ π/3 = 4π/3

The angles are 0, π/3 and 4π/3

4 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST! PLEASE HELP!!
Ber [7]

An octagon has 8 sides. Each side is given as 2a + 1

Perimeter = 8(2a + 1)

= 16a + 8

Answer: 16a + 8

4 0
4 years ago
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To the nearest degree what is the measure of each exterior angle of a regular dodecagon
malfutka [58]

Answer:

30^{\circ}

Step-by-step explanation:

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that a regular dodecagon is a 12 sided regular polygon with each side equal.

We know that measure of each angle of n-sided regular polygon can be found using formula:

\text{Each exterior angle}=\frac{360^{\circ}}{n}

Upon substituting n=12 in above formula, we will get:

\text{Each exterior angle of a regular dodecagon}=\frac{360^{\circ}}{12}

\text{Each exterior angle of a regular dodecagon}=30^{\circ}

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

3 0
3 years ago
Does the point (-1, 2) make the following equations true? i) y = -2x ii) y = x + 3
lesya [120]

Answer:

i) True

ii) True

Step-by-step explanation:

<u>Given :-</u>

Point (-1, 2)

<u>To Find :</u>

Whether the point is a solution of :

  1. y = -2x
  2. y = x + 3

<u>Solving :-</u>

Substitute the value of the point in each of the equations.

=> y = -2x

=> 2 = -2(-1)

=> 2 = 2 [∴ The point makes it true]

=> y = x + 3

=> 2 = -1 + 3

=> 2 =  2 [∴ The point makes it true]

4 0
2 years ago
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Which of the following equations, in its simplest form, will be equivalent to 3x 2 (–5)? 2 3x 5 x – 1 x – 2 x –3 – 3x – 1 x 3 –
Marrrta [24]

Answer:

Step-by-step explanation:

Let f(x) = 3x² - x³ - 3x + 5 and g(x) = x - 1 - x²

-x² + x - 1) -x³ + 3x² - 3x + 5(x - 2

               -x³ +  x²  - x

                -------------------------

                          2x² -  2x  +  5

                          2x²  -  2x  +  2

                           ----------------------

                                              3

4 0
2 years ago
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