cos(x+y) + cos(x-y) = 2cosx cosy​

Answers

Answer 1

Answer:

Step-by-step explanation:

the given equation

cos(x+y)+cos(x-y)=2cos(x)*cos(y)

[cos(x)cos(y)-sin(x)sin(y)]+cos(x-y)=2cos(x)*cos(y) ..

[cos(x)cos(y)-sin(x)sin(y)]+[cos(x)cos(y)+sin(x)sin(y)]=2cos(x)*cos(y)

[cos(x)cos(y)+cos(x)cos(y)]]+[sin(x)sin(y)-sin(x)sin(y)]=2cos(x)*cos(y) ..

2cos(x)*cos(y)=2cos(x)*cos(y)

L.H.S=R.H.S

Hence proved


Related Questions

ill give brainlyest to whoever gets this question right

Answers

Answer:

C

Step-by-step explanation:

430 feet above sea level

Answer:

C. 430 feet above sea level

If Lily got 18 questions right on a 20 questions
test, what percentage of the questions did she
get wrong?

Answers

Answer:

She got 10% of the questions wrong !

Step-by-step explanation:

To solve this problem I used cross multiplication

[tex]\frac{x}{100}= \frac{18}{20}[/tex]

18 x 100 =1800

1800 / 20 = 90

Since they are asking what she got wrong, not what she got right, you just need to subtract.

100% - 90% = 10%

hope this helped !

Answer:

10%

Step-by-step explanation:

18/20 Questions = 0.9 or 90% she got right

2/20 Questions = 0.1 or 10% she got wrong

Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next

Answers

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

Two numbers multiply to -24 and add up to -5

Answers

Answer:

-8 and 3

Step-by-step explanation:

The asked numbers are -8 and 3.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, two numbers multiply to -24 and add up to -5

Let the two numbers be x and y

x+y = -5...(i)

xy = -24

x = -24/y...(ii)

Put eq (ii) in eq (i)

-24/y + y = -5

-24 + y² = -5y

y²+5y-24 = 0

Factorizing,

y = 8 and 3

Taking y = 3, put it in eq(ii)

x = -24/3

x = -8

Hence, the asked numbers are -8 and 3.

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I need this last one I would give all my pints bcz I don’t understand it

Answers

I don't get it either

the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.

What is the area of a rectangle with a width of 6.5 feet and a length of 14 feet?

Answers

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.

Identify how many miles per day the Boden family is planning to travel.

miles per day

Answers

Answer:

202 miles per day

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.

The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.

Determine the initial number of miles that the Boden family drove before they made their plan.

771 miles

367 miles

165 miles

135 miles

This is your correct answer 165, oops this is the wrong question sorry

enter your answer as a number like this:42

Answers

Im not sure if its y=19
y= 6(5)-11
y=30-11
y=19

What is the value 6^-8/6^-5?

Answers

Answer:

0.00462962962

Step-by-step explanation:

A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck

Answers

Given :

A morning truck can carry no more than 1480 pounds of cargo.

Brian loaded 640 pounds into the truck already.

He is loading boxes that weigh 70 pounds.

To Find :

How many boxes can he out into the truck.

Solution :

Weight left for carrying cargo, W = 4180 - 640 pounds

W = 3540 pounds

Number of boxes of 70 pounds cargo he can carry in truck is :

[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .

Therefore, number of box they can carry is 50.

Hence, this is the required solution.

9x-7= -7
solve for x

Answers

Answer:

-2

Step-by-step explanation:

Answer

x=0


Explanation

(3x2)(−2x4) = 3(−2)x2∙4 = 6x8

Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8

Answers

Answer:

The correct answer is -6x⁶

Step-by-step explanation:

Given that:

[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]

From the second step above, using the law of indices the correct format should be

[tex]= (3\times -2)x^{2+4}[/tex]

So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.

Then the result of that yields

= -6x⁶

In the third step, they also omit the negative sign, when multiplying (3 * -2).

Thus, the correct answer is -6x⁶

What is the greatest common factor of 14, 51 ,21

Answers

Answer:

The answer is 1

Step-by-step explanation:

14 = 2 × 7

51 = 3 × 17

21 = 3 × 7

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:


I’ll mark u as brainlist if u get this right!!

Answers

Answer:

A

Step-by-step explanation:

When X is less than -1, positive parabola.  

I agree, (just to give a second opinion) It is A




Help is it b???????????????

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Vertically opposite angles are equal

please help, i need to know this answer!!

Answers

Answer:

It is d

Step-by-step explanation:

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes

The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?

Answers

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.

Answers

Answer

The answer is 14:13

14:13 is ratio can’t be simplified

please solve this for be before 7pm EDT​

Answers

Answer for #5:

7 friends

Step-by-step explanation:

convert fraction into 4ths:

1/4, 2/4, 3/4, 1/4

add together:

7/4ths

if each friend ate 1/4 of the pizzas, then there are 7 friends

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

Which of the following is not a polynomial?

Answers

as dhad said c is not the polynomial

subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x

Answers

Answer:

x = 11/2

Step-by-step explanation:

We would first put it in an equation

5x - 1 = 10 + 3x

We would first add 1 on both sides

5x = 11 + 3x

Then we subtract 3x on both sides

2x = 11

Divide both sides by 2

x = 11/2

The value of x from the given algebraic statement expression is;

x = 11/2

This is about simple Algebra.

The first expression is that; We are to subtract 1 from the product of 5 and x. This give; 5x - 1

The second expression is that we are to add 10 to the product of 3 and x. This gives us; 3x + 10

Finally, we are told that the first expression gives the same value as the second expression. This means that they are equal to each other and as such, we have;

       5x - 1 = 3x + 10

Let's add 1 to both sides to get;

5x - 1 + 1 = 3x + 10 + 1

⇒ 5x = 3x + 11

Let's subtract 3x from both sides to get;

2x = 11

Divide both sides by 2 to get;

x = 11/2

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does anyone know the answer ? and if you do can you explain how to do it ?

Answers

Answer: I think its answer choice b

Step-by-step explanation:

You're dividing so you would be subtracting the exponents

Someone help me with this please

Graph y = 5/3x - 9

Answers

Answer:

The answer is in the attached screenshot

the Y intercept is 9

the slop is 5/3

hope this helps.

Step-by-step explanation:

May I have brainliest please? :)

Answer:jdjej

Step-by-step explanation: so u can give him brainliest

n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.​

Answers

Answer:

B

Step-by-step explanation:

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]


A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?

Answers

Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.

According to the question,

We have the following details:

Number of students in 1st row = 10

Number of students in 2nd row = 14

Number of students in 3rd row = 18

Number of students in 4th row = 22

Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.

It is to be noted that with each row 4 students are increasing.

For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.

Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.

Number of students in 5th row = number of students in 4th row + 4

Number of students in 5th row = 22+4

Number of students in 5th row = 26

Now,

Number of students in 6th row = number of students in 5th row + 4

Number of students in 6th row = 26+4

Number of students in 6th row = 30

Hence, there are 30 students on the 6th row of the bleachers.

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