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nekit [7.7K]
2 years ago
8

If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?

Mathematics
1 answer:
nikklg [1K]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

cosx = sin(\frac{\pi}{2} - x)

sin x = sin y = > x = sin^{-1}(sin y) = y => x = y

sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}

x = 15

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WARRIOR [948]

Answer:

digit in the unit's place originally = 5

Step-by-step explanation:

x + y = 14

xy - yx = 36

Now, the only single digits that sum up to 14 are;

9 + 5 = 14

8 + 6 = 14

We can't use 7 + 7 because they said there is a difference when the numbers are reversed.

Now, let's assume 95 is the original number since we are told when it is reversed it is lesser.

Thus, when reversed we have 59.

Difference = 95 - 59 = 36

Thus,unit number of original number = 5

8 0
3 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
eduard
Does it have multiple correct answers?
5 0
3 years ago
Read 2 more answers
If x-y=√3, x²-y²=√5 & a²-a√3+1=0, then find out the value of x+y
Lemur [1.5K]

Answer:

√15/3

Step-by-step explanation:

x² - y² =√5

(x +y)*(x -y) = √5

(x +y) * √3 = √5

x+y  = √5 / √3

x +y = √5*√3 / √3*√3

x +y = √15/3

4 0
2 years ago
Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2
scoundrel [369]

The value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

<h3>Vertex Form of a quadratic expression</h3>

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209

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2 years ago
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Answer:

D). 5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

Step-by-step explanation:

For better clarity let us re write the options

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B).8x^5-5y^4-2xy^5+x^2y

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To express polynomial with mixed variables in standard form, we begin by the highest coefficient of x to the smallest (we place high precedence on the coefficient  x terms)

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