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3 years ago

X + 8 = 20

Mathematics

2 answers:

natta225 [31]3 years ago

5 0

Answer:

D. Subtract 8 from both sides

Step-by-step explanation:

you will have x= 12 which will be the answer :)

malfutka [58]3 years ago

3 0

Answer:

Subtract 8 from both sides

Step-by-step explanation:

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What is the silution

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Answer:

a homogeneous mixture of two or more substances in relative amounts that can be varied continuously up to what is called the limit of solubility

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3 years ago

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3 years ago

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The average of five numbers is 790.6. If the first four numbers are 80.2, 91.6,123,and 204.7,what is the sum of the five numbers

aleksklad [387]

Answer:

291 .1

Step-by-step explanation:

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3 years ago

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Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

Consider the functions f(x) = 12^x and g(x)= -2(12)^x. Which transformations must be applied to function F to produce the graph

maksim [4K]

Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch by virtue of the factor 2

Reflection over the x-axis by virtue of the factor -1

5 0

2 years ago