Solve the equation 2sin(x) + 1= 0

Mathematics

1 answer:

noname [10]3 years ago

8 0

Answer:

Step-by-step explanation:

+ First, we write 2sin(x) = -1 (add -1 for both sides)

Then sin(x) = -1/2 (divide both sides by 2).

+ And we know that -1/2 = sin( -pi/6)

So sin(x) = sin (-pi/6)

that implicite:

$x=-\frac{\pi }{6} + 2k\pi\\x= \pi - (-\frac{\pi}{6} )+ 2k\pi= \frac{7\pi}{6} +2k\pi$

Hope it useful for you.

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Which are the solutions of the quadratic equation x^2=-5x-3

frutty [35]

The correct answer would be $\frac{-5 +/- \sqrt{13} }{2}$

In order to solve for this you must first get the equation equal to 0.

<span>x^2=-5x-3 ----> add 5x to both sides.
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c.

a = 1 (because it is the coefficient to x^2)
b = 5</span> (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

$\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}$

$\frac{-5 +/- \sqrt{13} }{2}$

And those would be your two answers.

5 0

3 years ago

Use quadrilateral ABCD to find the value of X. The figure is not drawn to scale. Use the following dimensions: mABC=4x, mBCD=3x,

Dmitrij [34]

Answer: x=30

Step-by-step explanation:

The sum of the angles must be 360.

4x+3x+3x+2x = 12x

12x = 360

x =360/12 = 30

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3 years ago