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Tanzania [10]
3 years ago
12

Cos xcos y=1/2(sin(x+y)+ sin(x-y))

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Taking Rhs

1/2 [sin(x+y)+ sin (x-y)]

using sinA + sin B = 2 cos (A+B)/2 cos( A - B)/2

1/2 [ 2 Cos ( x+y+x-y)/2 . Cos (x+y-x+y)/2]

=Cos 2x/2. Cos 2y/2 = Cos x . Cos y

Hence true

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A system of equations and its solution are given below.
Fittoniya [83]
Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:
(-3x-18)+(3x-7y)=(-15)+(-35)
-3x-18+3x-7y=-15-35
-25y=-50

System B
x+6y=5
-25y=-50 </span>
4 0
3 years ago
Read 2 more answers
1. Find the slope of the line.<br><br> 2. Find the rate of change.
d1i1m1o1n [39]

Answer:

the slope of the line is 2 over 1 which means the answer is 2

the rate of change is c

To find the slope of the line you have to go rise over run.

to find the rate of change you have to see how much does the numbers in y go by.

8 0
3 years ago
Which graph shows the solution to the inequality -3x-7 &lt;20?​
ki77a [65]

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

4 0
3 years ago
Which is bigger 4/7 or 3/5
romanna [79]
3/5 is bigger because 4/7 = 20/35 and 3/5 = 21/35
8 0
3 years ago
Read 2 more answers
What are the intercepts of y = 4x - 2?
aleksandrvk [35]

Answer:

(1/2, 0)

Step-by-step explanation:

To find the y-intercept, set x = 0 and find y:  y = 4(0) - 2 = -2, so that we have the point (0, -2).

To find the x-intercept, set y = 0 and find x:  0 = 4x - 2, or x = 1/2, so that we have the point (1/2, 0).  This corresponds to the first answer choice.

7 0
3 years ago
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