simplify Cos(a+b) +Cos(a+b)​

Answers

Answer 1
At the risk of piling on after correct answers have already been given, I’ll offer another way to address this problem. Recall that, if
θ
is real, cos()=Re()
cos

(
θ
)
=
R
e
(
e
i
θ
)
. So, with
A
and
B
real,

(+)+(−)=(+−)=2cos()
e
i
(
A
+
B
)
+
e
i
(
A

B
)
=
e
i
A
(
e
i
B
+
e

i
B
)
=
2
e
i
A
cos

(
B
)

Finally,

cos(+)+cos(−)=Re((+)+(−))=Re(2cos())
cos

(
A
+
B
)
+
cos

(
A

B
)
=
R
e
(
e
i
(
A
+
B
)
+
e
i
(
A

B
)
)
=
R
e
(
2
e
i
A
cos

(
B
)
)

=2cos()cos()

Related Questions

-4(x+6)+2(x-2) please help!

Answers

Answer:

−2x−28

Step-by-step explanation:

Distribute:

=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)

=−4x+−24+2x+−4

Combine Like Terms:

=−4x+−24+2x+−4

=(−4x+2x)+(−24+−4)

= −2x - 28

Pls help me on this question!!

Answers

Answer:

from what i can tell this seems to be a translation three units down and three units to the left, this is not a dilation

Step-by-step explanation:

Evaluate for f ^-2 for f = 3 and g = 27 .

Answers

Answer:

1/9

Step-by-step explanation:

if your question is about evaluting f^-2

then the answer is

f = 3

then

f^-2 = 3^-2 = 1/9

Answer:

3

Step-by-step explanation:

You meant f^-2(g) for f = 3 and g = 27.

(3^-2)(27)

= 1/9(27)

= 3

:)

Samuel's parents own a chocolate shop, and today he gets to help make the nut truffles. Each truffle starts with one of 4 kinds of nuts and is dipped in one of 3 kinds of chocolate. How many different nut truffles can they make?

Answers

12

1 nut has 3 different ways it could be

3 times 4 kinds =12
12 because the nuts are cool

Which equation is not linear?

y = –3x + 4
y = 6x
y = 3
y = x5 – 1

Answers

Answer:

y=3 maybe

Step-by-step explanation:

The ratio of petunias to geraniums in the green house was 15 to 2. The combined number of of petunias and geraniums was 1020. How many geraniums were in the green house

Answers

Answer:

136

Step-by-step explanation:

divide 1020 by 15 = 68. 68 x 2 is 136

Adam has x baseball cards Ben has twice as many as Adam Carlos has 8 more than Adam Write the expression that indicates how many cards that Carlos has.

Answers

Answer:

Step-by-step explanation:

Hello,

I am pretty sure all this would be is :

Let c = Carlos's baseball cards

c = x + 8

Since Ben in this problem is irrelevant to Carlos, we just are using Adams cards and adding 8 onto them to find Carlos's cards since he has 8 more.

Since :

"Carlos has 8 more than Adam Write"

"Adam has x baseball cards"

So:

c = x + 8

I hope this helps!

If you have any questions or concerns feel free to message me or comment!

A bakery made 1, 575 butter cookies. After arranging the cookies into packages, the bakery did not have any cookies left. How many cookies could have in each package? *
1 point
A. 6
B. 5
C. 9
D.4​

Answers

Answer:

B. 5 might be the answer.

Answer: Either B. 5 or C. 9

Explanation: Assuming there would be the same amount of cookies in each package, to see if they would all fit perfectly and there be no leftover cookies, simply divide 1,575 (the number of total cookies) by how many cookies could be in each package. If it comes out with "point something," then the numbers after the decimal point would be how many cookies will be leftover. 5 and 9 both end up with no decimal, so that's as much as I know.

Perimeter? =
Area? =

Answers

Answer:

Your answer is

Area  = 16.23

perimeter = 24

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

A newsstand seller sold a total of 68 magazines and newspapers, which brought in a total of $199 on a certain day. Newspapers sell for $2 per copy and magazines sold for $5 per copy. How many magazines were sold on that day?

Answers

Answer:

21

Step-by-step explanation:

Using inequality to solve this question, we say

Let the total number of newspapers sold be x

Let the total number of magazines sold by y

x + y = 68

Suppose 1x = $2 and 1y = $5, then

2x + 5y = $199

Solving both as a simultaneous equation, we get that

2(68 - y) + 5y = $199

136 - 2y + 5y = $199

136 + 3y = $199

3y = 199 - 136

3y = 63

y = 63/3

y = 21

Then solving for x, we have

x + 21 = 68

x = 68 - 21

x = 47

Therefore, a total of 21 magazines were sold that day

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

Which expression has a solution of 27, if r = 3?

Answers

Answer:

rx9

Step-by-step explanation:

9x3=27

Answer:

9r = 27

Step-by-step explanation:

Have a great day <3

-2(3x-4)+3x=17 solve for x

Answers

x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

Which expressions are equivalent to 3(6+b)-(2b+1)

Answers

Answer:

The answer is b+17

Step-by-step explanation:

What is the slope of the line that passes through the points (-8,-6) and (-18,6)

Answers

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

Help me somebody please

Answers

it’s A because 25x4 is 100 then plus 40 is 140 and the 25x shows that the 25 is going to be multiplied or changed and the 40 just stays the same so it would be A, y=40+25x

HELP ME PLEASE!!!!ITS DUE TODAY!!

Answers

80*0.25 =20
80-20=60
60 peaches

Answer:

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $95
to spend on parking and admission. Parking is $12.25, and tickets cost $17 per
person, including tax. What is the maximum number of people who can go to the
amusement park?

Answers

Answer:

4

Step-by-step explanation:

95 - 12.25 = 82.75

82.75 ÷ 17 = 4.867

The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers

Answers

Answer:

23

Step-by-step explanation:

x + y = 47

2x + 3y = 100

Solving steps

x + y = 47 (-2)

2x + 3y = 100

We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.

-2x - 2y = -94

2x + 3y = 100

Y = 6

We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.

To get x. We sub in the value for y into one of the equations and solve.

2x + 3(6) = 100

2x + 18 = 100

We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.

2x = 100 - 18

2x = 72

x = 72÷2

x = 36.

X = 36

Y = 6

(36, 6)

Which Triangle appears to be both right and isosceles?

Answers

Answer: B

Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.

Answer:

B

Step By Step Explanation:

The corner of the triangle is at 90 degrees making it a right angle. Both legs are congruent and has corresponding angles.

Urgent please hell..

Answers

8 x (3^2/4^2)
=4.5
........................

Spare an answer sir?​

Answers

Answer:

yes

Step-by-step explanation:

3+ 9*4 = 3 + 36 = 39

39 is bigger than 15

Answer:

yes

Step-by-step explanation:

Just you will subsititute by the point in the inequality

(3, 9) the first number is x and the second is y

then

3 + 4 * 9 = 39

for sure 39 > 15

I hope this is hlepful to you

5xy4 25x2y 5x2y2 What is the greatest common factor (GCF) of the monomials shown above?

Answers

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

please help me I will mark you brainliest

Answers

Answer: q=4

Step-by-step explanation:

9. found the answer.... Find the function rule.
y=4x+3

Write a rule for the linear function in the table.

I NEED HELP PLEASE!!!!!

A. f(x) = –4x – 3



B. f(x) = x + 3



C. f(x) = 1/4x + 3



D. f(x) = 4x + 3

Answers

Answer:

The answer is "Choice D"

Step-by-step explanation:

In this question, given equation "[tex]y=4x+3[/tex]" is similar the choice d, and its values matches the given table, that can be defined as follows:

choice:

[tex]\to f(x)=4x+3\\\\ when \ x=0\\\to f(0)=4\times 0+3=0+3=3 \\\\ when \ x=3\\\to f(3)=4\times 3+3=12+3=15 \\\\when \ x=6\\\to f(6)=4\times 6+3=24+3=27 \\\\when \ x=9\\\to f(9)=4\times 9+3=36+3=39 \\\\[/tex]

triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC

Answers

Answer:

115 degrees

Step-by-step explanation:

From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.

First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180

180 - 50 = 130

then divide that by two to get the two equal angles

130/2 - 65

angle bisector divides the angles in half so the measures of CBD and BCD are 65/2

that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180

180 - 65/2 -65/2 = 115

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?


l = w + 3


l = w + 3


l = w – 3


l = 2w + 3


l = 2w – 3

Answers

Answer:

l = 2w – 3

Step-by-step explanation:

Answer:

l = 2w – 3

Step-by-step explanation:

Hope this helps!!!

Which number makes the equation true?

blank divided by eighteen equals one third

Question 13 options:

32


24


12


6

Answers

Answer:

6

Step-by-step explanation:

x/18 = 1/3

3x = 18

x = 6

The cost of a car rental is $30 per day plus 23 cents per mile. you are on a daily budget of $76 . You can drive at most how many miles per day

Answers

Answer:

200 miles

Step-by-step explanation:

y=0.23x+30

76=0.23x+30

46=0.23x

x=200

Are the ratios 16:8 and 4:2 equivalent?

Answers

Yes
16/4 is 4
8/2 is 4 as well
Making them equivalent
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