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ELEN [110]
2 years ago
9

Complete the identity. cos (alpha - beta)/cos alpha cos beta = ?

Mathematics
2 answers:
Zepler [3.9K]2 years ago
5 0
\frac{cos(a-b)}{cos(a)cos(b)} =  \frac{cos(a)cos(b)+sin(a)sin(b)}{cos(a)cos(b)} = 1+ \frac{sin(a)sin(b)}{cos(a)cos(b)} =1+tan(a)tan(b)

Note that I used these identities :cos(a-b)=cos(a)cos(b)+sin(a)sin(b) and  tan(a)= \frac{sin(a)}{cos(a)}
MrRa [10]2 years ago
3 0
I belive the answer to be b
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HELP PLZ <br> i need help with this math side i just need b,c,d a =4x+2y=16
tino4ka555 [31]

Answer:

Please check the explanatio.

Step-by-step explanation:

Solving Part b)

We know that the slope-intercept form of the equation line is

y=mx+b

where m is the slope and b is the y-intercept

Given the equation

4x+2y=16

Re-writing the equation in the slope-intercept form

4x+2y=16

y=-2x+8

Here, m=-2 and b=8

Thus, the equation in the slope-intercept form will be:

y=-2x+8

Solving Part c)

As you sold two pounds of cheddar cheese.

i.e. y=2

substituting y=2 in the slope-intercept form of the line equation

y=-2x+8

2=-2x+8

Subtract 8 from both sides

-2x+8-8=2-8

-2x=-6

Divide both sides by -2

\frac{-2x}{-2}=\frac{-6}{-2}

x=3

You sold 3 pounds of swiss cheese.

Solving Part d)

y=-2x+8

putting x=2.5 in the equation

y=-2x+8

2=-2\left(2.5\right)+8

2=3

The sides are not equal

<em>FALSE</em>

Thus, x=2.5 does not make any sense in the context of the problem.

6 0
2 years ago
24. Find the slope and y-intercept of the line.<br> Y=7/5x-3
Ad libitum [116K]

Answer:

slope = m = 7/5

y-intercept = b = -3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 7/5 x - 3

slope = m = 7/5

y-intercept = b = -3

4 0
1 year ago
Read 2 more answers
1/2x+1/3y=5 and 1/4x+y=10 solve this system by substitution
qaws [65]

Answer:

  (x, y) = (4, 9)

Step-by-step explanation:

You can use the second equation to write an expression for y.

  y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation

Now, substitute that for y in the first equation:

  1/2x + 1/3(10 -1/4x) = 5

  1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses

You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.

  5/12x = 5/3 . . . . . subtract 10/3

  x = (5/3)/(5/12) = 12/3 = 4

From above, we can use our expression for y:

  y = 10 - 1/4·4 = 9

The solution is (x, y) = (4, 9).

 

5 0
3 years ago
15(x-3) over 5 = 3(2x-3) <br> What is X?
fgiga [73]

Answer:

x=0

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the sum of the first five terms in the series 7+12+17+..?
nirvana33 [79]
7 + 12 + 17 + 22 + 27 = ( 7 + 27 ) + ( 12 + 22 ) + ( 34 / 2 ) = ( 34 / 1 ) + ( 34 / 1 ) + ( 34 / 2 ) = ( 68 / 2 ) + ( 68 / 2 ) + ( 34 / 2 ) = 170 / 2 = 85 .
3 0
3 years ago
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