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Ede4ka [16]
3 years ago
7

Solve for x in the equation 3x + 8 = x - 12.​

Mathematics
2 answers:
Yuliya22 [10]3 years ago
5 0

Answer:

x = -10

Step-by-step explanation:

Combine like terms and solve for x

3x + 8 = x - 12

3x= x - 20

2x = -20

x = -10

Drupady [299]3 years ago
3 0

Answer:

The answer is x = -10

Step-by-step explanation:

3 x -10 + 8= -22

-10 - 12 = -22

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u

So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
3 years ago
Which of the following lengths can be the sides of a triangle?
Dmitriy789 [7]

Answer:

C. 44 cm, 30cm, and 16 cm

Step-by-step explanation:

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7 0
3 years ago
2abc-3ab if a=2, b=-3, c=2
Elden [556K]
So a=2 since a is next to the first 2 it would be 2x2 which equals 4 next it’s B and B= -3 so -3x4 equals -12 and then c also equals 2 so it would be -12x2 and that equals -24. Moving on to the next part as I said a=2 so it would be 3x2 and that equals 6 next it’s B again so 6x -3 equals -18 so now take -24 and -18 and subtract them and you would get -6. Sorry if this answer is wrong I did my best...hope it helped.
5 0
3 years ago
Draw hands on the clock to show 5 minutes after 6
PSYCHO15rus [73]
I can't draw a picture but the little hand would be on the 6 and the big hand would be on the 1.
5 0
3 years ago
I GIVEEE BRAINLILSTT
alekssr [168]

Answer:

(x, y)  -->   (x + 14, y + 8)

Step-by-step explanation:

Look at 1 original point and its corresponding translated point.

Let's look at F and F'.

To go from F to F', you need to go right in x 14 units.

Then you need to go up in y 8 units.

The translation rule is to add 14 to x and 8 to y.

(x, y)  -->   (x + 14, y + 8)

4 0
3 years ago
Read 2 more answers
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