cosA.cosB-sin. is same aso Sin * (A + B) b. Sin * (A - B) d. Cos * (A - B) c. Cos * (A + B)
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Hi! I'm happy to help!

First, we need to get our two equations, so we need to look at what facts we have throughout the equation. It tells us that x is 3 times as much as y. We can use this to write our first equation:

3y=x

All of the interior angles inside of a triangle add up to 180°, and because we already have 3 angles, we can use this information to make our second equation:

x+y+45=180

Now, we have to use these equations together to get our answer.

Since we can replace 3y for x (first equation) we can replace it in our second equation:

3y+y+45=180

We edit both sides of the equation in the same way to get the same outcome, but to simplify. Since we are solving for y, let's isolate it by subtracting 45 from both sides:

3y+y+45=180

       -45  -45

3y+y=135

Let's combine the 3y and y to make things simpler:

4y=135

From here, we divide both sides by 4, to isolate y:

y=33.75

Now that we have our y value, we can use our first equation to solve for x:

3y=x

3(33.75)=x

101.25=x

We used our equations to get both our x and y values: 33.75, and 101.25.

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

Given:

Rewrite it as:

Since all A, B, C are integers from 0 to 9, A can be 1 only, then we have:

or

It gives us:

The equation is:

Answer:

ABC=198

Step-by-step explanation:

If you do 11+99+88 then you get 198 which is true to the problem that you have.

Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

[tex]x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)[/tex]

for equation (a)

make x the subject of the formular:

[tex]x = 5 - 2y - - - (c)[/tex]

for equation (b)

[tex] {x}^{2} - {y}^{2} = - 3[/tex]

substitute for x as 5 - 2y in equation (b):

[tex] {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0[/tex]

therefore,

[tex]y = \frac{14}{3} \: \: and \: \: 2[/tex]

substitute for all values of y in equation (c):

for y = 14/3:

[tex]x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} [/tex]

for y = 2:

[tex]x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1[/tex]

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

Answer: 6

Step-by-step explanation:

[tex]((30+6)-3^{2})\div9\times2\\(36-9)\div9\times2\\(27)\div9\times2\\3\times2\\6[/tex]

Answer:

135/46

Step-by-step explanation:

30+6=36

3^2 = 9

36-9=27

27/9.2=135/46

Answer:

sum is -(10x + 1)

Step-by-step explanation:

[tex]( - x - 7) + ( - 9x + 6) \\ = ( - x - 9x) + (6 - 7) \\ = - 10x - 1 \\ = - (10x + 1)[/tex]

Answer:

[tex]( - x - 7) + ( - 9x + 6) \\ = - x - 7 - 9x + 6 \\ = - 10x - 1 \\ thank \: you[/tex]

Answer:

A) y = 3x – 2

Step-by-step explanation:

Just check the results: when you put the numbers of the x-colum from the table, the result will be the corresponding numbers of the y-colum. and that means this is the right equation

Step-by-step explanation:

5/7+4/5

LCM of 5,7 is 35

So,

25+28/35

53/35

Answer:

53/35

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

The answer you have selected is correct.

Step-by-step explanation:

Answer:

X^2 - 7xy + y^2 +2y

Step-by-step explanation:

For this, they are just trying to test if u know how to expand the brackets, especially for the one on the right, since that is a negative infront of the bracket, u would need to multiply negative to all the values in that bracket

Answer:

[tex]2^{1} + 3^{1}[/tex], [tex]2^{3} - 2^{1}[/tex], [tex]3^{2}[/tex]

Step-by-step explanation:

[tex]3^{2}[/tex] = 9

[tex]2^{3} - 2^{1}[/tex] = 6

[tex]2^{1} + 3^{1}[/tex] = 5

Step-by-step explanation:

Simplify the expressions

[tex]2 {}^{3} - 2 {}^{1} = 2 {}^{3} - 2 = 8 - 2 = 6[/tex]

[tex]2 + 3 = 5[/tex]

[tex] {3}^{2} = 9[/tex]

So the expressions from least to greatest is

[tex]2 {}^{1} + 3 {}^{1} < 2 {}^{3} - 2 {}^{1} < 3 {}^{2} [/tex]

Answer:

20 weeks

Step-by-step explanation:

200-1.5w=180-0.5w

You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.

Answer:

9 bracelets

Step-by-step explanation:

Divide 6/2 = 3 bracelets per hour

3 bracelets * 3 hours = 9 bracelets

Answer:

Step-by-step explanation:

bc i say so

the one on the left is (2,2) the one on the right is (8,2)

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x - y = 4 ( subtract 3x from both sides )

- y = - 3x + 4 ( multiply through by - 1 )

y = 3x - 4 → A

Answer:

D

Step-by-step explanation:

x + 5 > 11

is the same as

x > 6

and because it is ">" and not ">=", the solution point is not included.

therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".

Answer:

1. 32

2. 100

3. 36

..........................

Answer:

32

100

36

Step-by-step explanation:

Answer:

[tex]The\,\,derived\,\,equation\,\,is\\6x+2y=-8[/tex]

Step-by-step explanation:

Given, equation of line

[tex]6x+2y = 10......(i)\\\\Parallel\,\,line\,\,of\,\,the\,\,equation\,\,(i),\\6x+2y=k.....(ii)\,\,;[here,\,\,k\,\,is\,\,a\,\,constant]\\\\The\,\,line\,\,(ii)\,\,passes\,\,through\,\,the\,\,point\,\,(-3,5),\\6*(-3)+2*(5)=k\\So,\,\,k=-8\\\\Therefore,\,\,the\,\,derived\,\,equation\,\,is\\6x+2y=-8[/tex]

Hope you have understood this.....        

ask me if you have any confusion.....        

if you liked it pls mark it as the brainliest

Answer:

a-4,8+_84(4+4(*:84

dirkrk

The component form of the vector that translates will be 11i - 17j.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The translation does not change the shape and size of the geometry. But changes the location.

The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,

(7, - 9) = (- 4 + x, 8 + y)

Compare the abscissa, then we have

7 = - 4 + x

x = 7 + 4

x = 11

Compare the ordinate, then we have

y + 8 = - 9

y = - 8 - 9
y = - 17

The component form of the vector that translates will be 11i - 17j.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

hope it will help you Mark me as brilliant

Answer:

hope this helps and you meant prime numbers

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Answer:

Population of Africa in 2003 is 22.5 million

population of Africa in 1950 is 1 million - 22.5 million /5

21.5million / 5

21500000/5

4300000

4.3 million people

Given Polynomial

[tex]\\ \sf\longmapsto x^2y^3+a^3b^4-7[/tex]

Calculate degrees of all variables

B has highest degree

Hence degree of polynomial is 4

It is a tetranomial

Answer:

I agree with the answer above me

Step-by-step explanation:

You can give the brainliest to them

x - 1 is the total number of weeks minus the first  

Answer: x-1 is number of weeks-1st week

Step-by-step explanation:

x represents the number of weeks bring the first.

-1 is to remove the first week that costs $300

Answer: Yes, the set of real numbers is closed under addition.

Explanation:

Let x and y be two real numbers. Their sum x+y is some other real number. This is what it means when we say the set of real numbers is closed under addition. Taking any two numbers and adding them will get us some other real number.

There is no way to have x+y be nonreal while x,y are both real.

Answer:

3

Step-by-step explanation:

Given

[tex]\sqrt[3]{\sqrt{729} }[/tex]

Evaluate from the ' inside- out ' , that is

[tex]\sqrt{729}[/tex] = 27 , then

[tex]\sqrt[3]{27}[/tex]

= 3

Answer:

3

Step-by-step explanation:

[tex] \sqrt[3]{ \sqrt{729} } [/tex]

[tex] = \sqrt[3]{ \sqrt{ {27}^{2} } } [/tex]

[tex] = \sqrt[3]{27} [/tex]

[tex] = \sqrt[3]{ {3}^{3} } [/tex]

[tex] = 3[/tex] ✅

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!