All categories

3 years ago

Graph the line with slope -2 passing through the point (1,-4)

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

the equation for the line is:

y = -2( x + 1 )

You might be interested in

Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

4 years ago

The total perimeter of a square is 36 inches. What is one side of the square equal to

never [62]

Note that a square has 4 congruent and equal length sides.

The total perimeter is 36

Divide 36 with 4

36/4 = 9

9 inches is your answer

hope this helps

5 0

3 years ago

Cameron and Logan decided to share a large sub sandwich. Cameron ate 3/6 and Logan 2/6 of the sandwich. How much of the sandwich

torisob [31]

Answer:

Together, the boys ate 5/6 of the sandwich, leaving 1/6 of the sandwich left.

7 0

3 years ago

I need the perimeter and area

kirza4 [7]

Answer:

P: 32

A: 63

Step-by-step explanation:

I hope that thats right..

6 0

3 years ago

The width of a rectangular table is 2.3 feet less than its length. If the area of the table is 9.5 square feet, find its dimens

stellarik [79]

Answer: Width = 12 feet

length = 9 feet

8 0

3 years ago