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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

7 0

Answer:

7.8 and 18.8 is your answer

Step-by-step explanation:

katen-ka-za [31]3 years ago

7 0

give other person brainliest and yes Ik I’m very late ~w~

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one sixth of thirty six hundredths is less than two tenths less than four write as inequality if closed write true or false

Hatshy [7]

(1/6)(36/100)<4 - (2/10)
6/100 < 38/10
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true

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3 years ago

suppose that the first player draws a silver marble and wins a small prize what is the probability that the second player will a

AlexFokin [52]

Answer:

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Step-by-step explanation:

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3 years ago

Roger factored a polynomial to determine that the zeros of the polynomial are located at

coldgirl [10]

Answer:

2 is the factor of polynomial

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3 years ago

Sin(4x) in the term of just x<br> Please help!!

Nina [5.8K]

I think you mean in terms of $\sin(x)$ ?

Recall Euler's identity

$e^{ix} = \cos(x) + i \sin(x)$

and de Moivre's theorem

$\left(e^{ix}\right)^n = \left(\cos(x) + i \sin(x)\right)^n = \cos(nx) + i \sin(nx) = e^{inx}$

where $i=\sqrt{-1}$ .

It follows that

$\sin(4x) = \mathrm{Im}\left(\cos(x) + i \sin(x)\right)^4$

By the binomial theorem, expanding the right side gives

$\cos^4(x) + 4i \cos^3(x) \sin(x) - 6\cos^2(x) \sin^2(x) - 4i \cos(x) \sin^3(x) + \sin^4(x)$

and so

$\sin(4x) = 4\cos^3(x) \sin(x) - 4 \cos(x) \sin^3(x)$

We can factorize this as

$\sin(4x) = 4 \cos(x) \sin(x) \left(\cos^2(x) - \sin^2(x)\right)$

and using the Pythagorean identity

$\cos^2(x)+\sin^2(x) = 1 \implies \cos(x) = \pm \sqrt{1-\sin^2(x)}$

this reduces to

$\sin(4x) = \pm 4 \sqrt{1-\sin^2(x)} \sin(x) (1 - 2 \sin^2(x))$

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2 years ago

Find the value of k so that the line through the given points has the given slope.

Kay [80]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

$\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}$

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3 years ago