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2 years ago

How do you factorise 12x-3?

Mathematics

2 answers:

dybincka [34]2 years ago

6 0

Answer:

3(4x - 1)

Step-by-step explanation:

Given

12x - 3 ← factor out the common factor of 3 from both terms

= 3(4x - 1)

Lyrx [107]2 years ago

3 0

Answer: 3(4x-1)

Step-by-step explanation:

Find the HCF which is 3

Divide.

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Write the slope-intercept form of the equation of the line. y − 3 = −12(x − 4)

Gala2k [10]

Answer:

y= -1/2x +10

Step-by-step explanation:

i did the math it might be wrong tho but i dont think so

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3 years ago

NC0 + nC3 + nC6 + nC9 + ... what does this equal to?

galina1969 [7]

NC18 apparently this is too short of an answer and is not explained well

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3 years ago

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

Find the surface area of the cube shown. (_________) square centimeters

Step2247 [10]

Answer:

The answer is: 181.5 square centimeters.

Step-by-step explanation:

The cube has six faces, and each face is a square with sides of length 5.5, so the area of one of this faces is $5.5^2=30.25$ , adding the six faces, we get the answer: $A=6\times 30.25=181.5$

5 0

3 years ago

Read 2 more answers

HELP I NEED HELP ASAP

ValentinkaMS [17]

Answer: B

Explanation:
We can substitute burgers for m and drinks for p, since all burgers are the same price and drinks are the same price, substitute the 3 burgers and 2 drinks into
3m+2p
The only right answer for this equation is $13.50, substitute the 5m+4p=$23.50 and your only right answer is B

4 0

2 years ago