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Lerok [7]
2 years ago
10

Simplify Sinx + cosx/ cos²x - sin²x​

Mathematics
1 answer:
bonufazy [111]2 years ago
3 0

\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin  x)}\\\\\\=\dfrac{1}{\cos x - \sin x}

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Solve for x: 4(x + 2) = 3(x − 2)<br><br>A) −2<br>B)−4<br>C) −10<br>D) −14
BARSIC [14]

4(x+2)=3(x-2)

Multiply the first bracket by 4

Multiply the second bracket by 3

4x+8=3x-6

Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)

4x-3x+8=3x-3x-6

x+8=-6

Move positive 8 to the right hand side

x+8-8=-6-8

x=-14

Check answer by using substitution method

Use x=-14 into both of the equations

4(-14+2)=3(-14-2)

-56+8=-42-6

-48=-48

Answer is -14- D)

6 0
3 years ago
McKenzie has her two books including 12 books by her favorite author. Express as a decimal the number of books by her favorite a
lisov135 [29]

Answer:

0.1666666666666666666666666....

The decimal is repeating because it goes on forever and never ends.

Step-by-step explanation:

4 0
3 years ago
3x+2y=25<br> 5x+6y=57<br> What the x and y? HELP
son4ous [18]

Answer:

x=4.5

y=5.75

Step-by-step explanation:

since you dont have much time to wait, i wont put an explanation here

6 0
3 years ago
Read 2 more answers
Which of the following best describes the volume of a cylinder?
Ahat [919]
<span>A. the area of the circular base multiplied by the height of the cylinder B. the circumference of the circular base multiplied by the height of the cylinder C. the sum of the areas of the two circular bases multiplied by the height of the cylinder D.</span>
4 0
3 years ago
There are 6 bricks laid end to end to form a row in a flower garden each brick is 7 1/3 inches long how long is the row of brick
JulsSmile [24]

Answer:

The answer is 44 inches.

Step-by-step explanation:

6×7 1/3 = 44

6 0
3 years ago
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