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3 years ago

Why wont the opposite of a postive number never be a postitive number

Mathematics

1 answer:

Llana [10]3 years ago

7 0

Because on a number line, we find that the opposite of a positive will always be a negative.

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Whats 1003 divided by 11

Alchen [17]

Answer:

it will equal 91.18181818181 oe 91 2/11

Step-by-step explanation:

I used a calculator. Good Luck!!

6 0

3 years ago

∆ABC is transformed with the center of dilation at the origin.

jonny [76]

<u>Answer:</u>

1/5

<u>Step-by-step explanation:</u>

We are to find the scale factor of the dilation that maps the pre-image of triangle ABC with vertices A(−3, 4), B(−1, 12) and C(4, −2) to the image triangle A'B'C' with vertices A' (−0.6, 0.8), B' (−0.2, 2.4) and C' (0.8, −0.4).

Center of dilation is at the origin.

To find the scale factor, we will divide the corresponding vertices of the image and pre-image.

A (−3, 4) ---> A' (−0.6, 0.8) = $\frac{-0.6}{-3} , \frac{0.8}{4}=(\frac{1}{5} , \frac{1}{5})$

B(−1, 12) ---> B' (−0.2, 2.4) = $\frac{-0.2}{-1} , \frac{2.4}{12} = (\frac{1}{5} , \frac{1}{5})$

C(4, −2) ---> C' (0.8, −0.4) = $\frac{0.8}{4} , \frac{-0.4}{-2} = (\frac{1}{5} , \frac{1}{5})$

Therefore, the scale factor of the dilation is 1/5.

3 0

3 years ago

Find the curl and the divergence of the vector field f(x, y, z) = x2yz i + xy2z j + xyz2 k

xxTIMURxx [149]

$\mathbf f(x,y,z)=x^2yz\,\mathbf i+xy^2z\,\mathbf j+xyz^2\,\mathbf k$

$\mathrm{div}\mathbf f(x,y,z)=\dfrac{\partial(x^2yz)}{\partial x}+\dfrac{\partial(xy^2z)}{\partial y}+\dfrac{\partial(xyz^2)}{\partial z}$
$=2xyz+2xyz+2xyz$
$=6xyz$

$\mathrm{curl}\mathbf f(x,y,z)=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\\\\frac\partial{\partial x}&\frac\partial{\partial y}&\frac\partial{\partial z}\\\\x^2yz&xy^2z&xyz^2\end{vmatrix}$
$=\left(\dfrac{\partial(xyz^2)}{\partial y}-\dfrac{\partial(xy^2z)}{\partial z}\right)\,\mathbf i-\left(\dfrac{\partial(xyz^2)}{\partial x}-\dfrac{\partial(x^2yz)}{\partial z}\right)\,\mathbf j+\left(\dfrac{\partial(xy^2z)}{\partial x}-\dfrac{\partial(x^2yz)}{\partial y}\right)\,\mathbf k$
$=\left(xz^2-xy^2\right)\,\mathbf i-\left(yz^2-x^2y\right)\,\mathbf j+\left(y^2z-x^2z\right)\,\mathbf k$

6 0

4 years ago

Jackie kessel has found a home she would like to purchase. The seller accepts her offer of 210900. Jackie will make a down payme

raketka [301]

210900 × 0.15 = 31635
210900 - 31635 = 179265
179265 is the mortgage loan

3 0

3 years ago

The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the near

fenix001 [56]

Answer:

there are 60 minutes per hour and 60 seconds per minute

60x 60 = 3600 seconds her hour

21000/3600 = 5.83 miles per second

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers