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3 years ago

If a quadrilateral has vertices a(-2,2) b(2,3) c (3,-4) d(-3,-2) find the slope of AB,BC,CD,DA

Mathematics

1 answer:

FrozenT [24]3 years ago

4 0

Slope AB=0.25
BC=-7
CD=-1/3
DA=4

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siniylev [52]

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3 years ago

Calculate the flux of the vector field F⃗ (x,y,z)=(exy+9z+4)i⃗ +(exy+4z+9)j⃗ +(9z+exy)k⃗ through the square of side length 3 wit

ikadub [295]

The square (call it $S$ ) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is $\vec n=\vec\imath-\vec k$ , which is enough information to figure out the equation of the plane containing $S$ :

$(x\,\vec\imath+y\,\vec\jmath+z\,\vec k)\cdot(\vec\imath-\vec k)=0\implies x-z=0\implies z=x$

We can parameterize this surface by

$\vec s(x,y)=x\,\vec\imath+y\,\vec\jmath+x\,\vec k$

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$\vec F(x,y,z)=(e^{xy}+9z+4)\,\vec\imath+(e^{xy}+4z+9)\,\vec\jmath+(9ze^{xy})\,\vec k$ ,

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\iint_S\vec F(\vec s(x,y))\cdot\vec n\,\mathrm dx\,\mathrm dy$

$=\displaystyle\int_0^3\int_0^{3/\sqrt2}\left((4+e^{xy}+9x)\,\vec\imath+(9+e^{xy}+4x)\,\vec\jmath+(e^{xy}+9x)\,\vec k\right)\cdot(\vec\imath-\vec k)\,\mathrm dx\,\mathrm dy$

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Solve to find the answer of blue pills Mr body took: number of blue pills, b, mr mattics give him was 3 more than the number of

barxatty [35]

Answer:

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Step-by-step explanation:

Total number of pills consumed = 17

Number of blue pills, b = 11

Number of blue pills, b = g + 3

So that,

b = g + 3

11 = g + 3

g = 8

Total number of pills recommended = b + g

= 11 + 8

= 19

Total number of pills consumed = 17

Thus,

Number of blue pills consumed = 17 - 8

= 9

Therefore, Mr body took 9 blue pills.

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3 years ago

What is the standard form of 0.0005?

mash [69]

5 * 10 raise to power of - 4

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sertanlavr [38]

Answer:

Step-by-step explanation:

Given that there are two machines available for cutting corks intended for use in wine bottles.

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a) $P(2.9$

b) $P(2.9$

Both are certain events.

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4 years ago