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anzhelika [568]
3 years ago
5

Anyone know the answer to this?

Mathematics
2 answers:
Veronika [31]3 years ago
5 0

Answer:

Hope this helps

Step-by-step explanation:

12x^8y^7

Liono4ka [1.6K]3 years ago
3 0

Answer:

Use the product property. Answer below.

Step-by-step explanation:

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The following polynomial can be factored using the techniques of this lesson. <br><br> x2 + 16
Nat2105 [25]

Answer:

The answer here would be false

Step-by-step explanation:

6 0
3 years ago
If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
bogdanovich [222]
True.

Let p1 and p2 be the two parallel planes. Let n1 be the normal vector of plane p1 (which is a vector perpendicular to the plane). If p2 is parallel to p1, then n1 is also a normal vector for p2.

Let p3 be the third secant plane, and n3 be its normal vector.

The direction vector of the intersection line of two planes is given by the cross products of their normal vectors (this is due to the fact that the cross product of two vectors is orthogonal two both of them, and that the direction vector of the intersection must be orthogonal two both normal vectors). So, the direction vectors of the two lines are:

v1 = n1 × n3
v2 = n1 × n3

The are equal. Hence, the lines are parallel.
3 0
3 years ago
Find the flux of F = x^3 i  + y^3 j  + z^3k through the closed surface bounding the solid region x^2 + y^2 ≤ 4, 0 ≤ z ≤ 4
givi [52]
Use the divergence theorem. Let R be the cylindrical region, then

\displaystyle\iint_{\partial R}\mathbf F\cdot\mathbf n\,\mathrm dS=\iiint_R\nabla\cdot\mathbf F\,\mathrm dV

(where \mathbf n denotes the unit normal vector to \partial R, but we don't need to worry about it now)

We have

\mathrm{div }\mathbf F=(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial\mathbf F}{\partial x}+\dfrac{\partial\mathbf F}{\partial y}+\dfrac{\partial\mathbf F}{\partial z}
\nabla\cdot\mathbf F=3x^2+3y^2+3z^2

For the solid R with boundary \partial R, we can set up the following volume integral in cylindrical coordinates for ease:

\displaystyle3\iiint_R(x^2+y^2+z^2)\,\mathrm dV=3\int_{z=0}^{z=4}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}(r^2+z^2)r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz
=\displaystyle6\pi\int_{z=0}^{z=4}\int_{r=0}^{r=2}(r^3+rz^2)\,\mathrm dr\,\mathrm dz
=\displaystyle12\pi\int_{z=0}^{z=4}(2+z^2)\,\mathrm dz
=352\pi
5 0
3 years ago
Caroline has 12 cherries and 13 strawberries. What percentage are the cherries?
Tasya [4]

Answer:

12/25=48%

Step-by-step explanation:

total=denominator=12+13=25

numerator=no of cherries=12

12/25=x/100

1200=25x

x=48%

6 0
3 years ago
What is the area of a parallelogram with a base of 7 meters and a height of 6 meters?
KonstantinChe [14]

Answer:

42 m 2

Step-by-step explanation:

because I know

7 0
3 years ago
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