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Eva8 [605]
3 years ago
12

Which of the following are equivalent forms of the equation y=-5/9x+2/3?

Mathematics
1 answer:
olganol [36]3 years ago
3 0
Hello : 
<span> y=-5/9x+2/3
multipl by : 9
9y =  -5x+6(</span>equivalent form)<span>
5x+9y =6  (</span>equivalent form)
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Find the following: F(x, y, z) = e^(xy) sin z j + y tan^−1(x/z)k Exercise Find the curl and the divergence of the vector field.
natulia [17]

\vec F(x,y,z)=e^{xy}\sin z\,\vec\jmath+y\tan^{-1}\dfrac xz\,\vec k

Divergence is easier to compute:

\mathrm{div}\vec F=\dfrac{\partial(e^{xy}\sin z)}{\partial y}+\dfrac{\partial\left(y\tan^{-1}\frac xz\right)}{\partial z}

\mathrm{div}\vec F=xe^{xy}\sin z-\dfrac{xy}{x^2+z^2}

Curl is a bit more tedious. Denote by D_t the differential operator, namely the derivative with respect to the variable t. Then

\mathrm{curl}\vec F=\begin{vmatrix}\vec\imath&\vec\jmath&\vec k\\D_x&D_y&D_z\\0&e^{xy}\sin z&y\tan^{-1}\frac xz\end{vmatrix}

\mathrm{curl}\vec F=\left(D_y\left[y\tan^{-1}\dfrac xz\right]-D_z\left[e^{xy}\sin z\right]\right)\,\vec\imath-D_x\left[y\tan^{-1}\dfrac xz\right]\,\vec\jmath+D_x\left[e^{xy}\sin z}\right]\,\vec k

\mathrm{curl}\vec F=\left(\tan^{-1}\dfrac xz-e^{xy}\cos z\right)\,\vec\imath-\dfrac{yz}{x^2+z^2}\,\vec\jmath+ye^{xy}\sin z\,\vec k

5 0
3 years ago
Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

6x + 24 = 2y + 10 ( subtract 10 from both sides )

6x + 14 = 2y ( divide all terms by 2 )

3x + 7 = y, hence

y = 3x + 7 → C

4 0
3 years ago
Please Helpppp
Firdavs [7]

Answer: I think its C

Step-by-step explanation: My sister helped me, shes in collage!

Hope it helps and can you plz click Brainlyest

5 0
3 years ago
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Determine the slope of the line that passes through the points (-4, 6) and (0,4).
gavmur [86]

Answer:

B.) m=-\frac{1}{2}

Step-by-step explanation:

use the slope rule

\frac{rise}{run} \\\\\\frac{y2-y1}{x2-x1}

Fill in values

\frac{4-6}{0-(-4)}

Simplify

\frac{-2}{4}\\-\frac{2}{4}

Simplify further

m=-\frac{1}{2}

Done.

3 0
3 years ago
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What is the equation for the line in slope-intercept form
galben [10]

Answer:

y=-2x-4

Step-by-step explanation:

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2 years ago
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