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3 years ago

Can someone explain how to solve this

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

8 0

Answer: C

Rule is w(-5,4)

w(X,Y). Becomes (-Y,X). So the second number goes first becoming opposite sign then the X becomes the second number stays same sign cuz you ratatouille counterclockwise CCW

Step-by-step explanation:

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Can someone explain how to do this

Wewaii [24]

You find a triangle with two of the points. Use rise over run (up or down and left or right) See how many squares rise takes and how many squares run takes. Then with rise/run simplfy the fraction and you should get the slope.

3 0

3 years ago

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

Hatshy [7]

Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

$45d + 70 = 880$

Now we solve the equation for the variable d

$45d= 880-70$

$45d= 810$

$d= \frac{810}{45}$

$d= 18\ days$

The answer is the option D

6 0

4 years ago

Find x if the base angles of an isosceles triangle are 61 degrees and 7x+19.

Alla [95]

The question provides the measures of two angles, (one of which contains

a variable), and the relationship between the angles.

The value of x is 6 degrees

Reason:

The given parameters are;

The base angles of the isosceles triangles are; 61° and (7·x + 19)°

Required:

To find the value of x

Solution:

By definition of an isosceles triangle, we have;

The base angles of an isosceles triangle are equal, therefore;

(7·x + 19) = 61

Which gives;

$x = \dfrac{61 - 19}{7} = 6$

The value of x = 6

Learn more here:

brainly.com/question/16350203

6 0

3 years ago

F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 3)j + zk. find the flux of f across s, the part of the paraboloid x2 + y2 + z = 18 that l

Cerrena [4.2K]

$\mathbf F(x,y,z)=z\tan^{-1}(y^2)\,\mathbf i+z^3\ln(x^2+3)\,\mathbf j+z\,\mathbf k$
$\implies\mathrm{div}\mathbf F(x,y,z)=0+0+1=1$

By the divergence theorem, the flux of $\mathbf F$ across the *closed* surface $\mathcal S$ combined with the plane $z=2$ is given by a volume integral over the closed region:

$\displaystyle\iint_{\mathcal S}\mathbf F\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}\nabla\cdot\mathbf F\,\mathrm dV$

So in fact, to find the flux over $\mathcal S$ alone, we'll need to subtract the flux of $\mathbf F$ over the planar portion, oriented outward. First, compute the volume integral by converting to cylindrical coordinates:

$x^2+y^2+z=18$
$z=2\implies x^2+y^2=16\implies r^2=16\implies r=4$

$\displaystyle\iiint_{\mathcal R}\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=4}\int_{z=2}^{z=18-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=128\pi$

If the surface does actually contain $z=2$ , then you can stop here; otherwise, continue.

Now, parameterize the part of the *closed* surface in $z=2$ by

$\mathbf s(r,\theta)=r\cos\theta\,\mathbf i+r\sin\theta\,\mathbf j+2\,\mathbf k$

where $0\le r\le4$ and $0\le\theta\le2\pi$ . We get a surface element

$\mathrm d\mathbf S=(\mathbf s_r\times\mathbf s_\theta)\,\mathrm dr\,\mathrm d\theta=(r\,\mathbf k)\,\mathrm dr\,\mathrm d\theta$

We don't need to worry about the first two components of

and so the surface integral over this region is

$\displaystyle\iint_{z=2\,\land\,x^2+y^2\le16}\mathbf F\cdot\mathrm d\mathbf S=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=4}2r\,\mathrm dr\,\mathrm d\theta=32\pi$

Then the total flux over $\mathcal S$ alone is $(128-32)\pi=96\pi$ .

4 0

3 years ago

Solve for x: −2(x + 3) = −2(x + 1) − 4. (1 point) a 2 b 3 c All real numbers d No solution

Fofino [41]

-2(x + 3) = -2(x + 1) - 4

-2x - 6 = -2x - 2 - 4 distributed -2 on the left and on the right

-2x - 6 = -2x - 6

+2x +2x

-6 = -6

TRUE

Since this is a true statement, there are infinite solutions (aka All Real Numbers)

Answer: C

8 0

3 years ago