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3 years ago

What is the slope of the line parallel to the line 9y + 2x = 54? Select one:

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

The slope is -2/9

Step-by-step explanation:

9y + 2x = 54

Solve for y to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

9y + 2x -2x = -2x+54

9y = -2x+54

Divide by 9

9y/9 = -2x/9 + 54/9

y = -2/9 x +6

The slope is -2/9

Parallel lines have the same slope

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In their first 5 games last year, the Dallas Cowboys scored 35, 31, 31, 10, and 24 points. How many points did the Cowboys avera

Anna71 [15]

Answer:

26.2 points

Step-by-step explanation:

To find the average, find their total number of points and divide by the number of games

total points/number of games

To find their total points, add all their points together

35+31+31+10+24=131

Then, divide by the number of games (5)

131/5=26.2

So, they scored an average of 26.2 points

Hope this helps! :)

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2 years ago

What is the surface area of the regular pyramid?

zimovet [89]

You would have to do 18x2 then 14x2.

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2 years ago

Read 2 more answers

F(x, y, z) = yzexzi + exzj + xyexzk,

Ghella [55]

$\nabla f(x,y,z)=\mathbf F(x,y,z)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j+\dfrac{\partial f}{\partial z}\,\mathbf k=yze^{xz}\,\mathbf i+e^{xz}\,\mathbf j+xye^{xz}\,\mathbf k$

$\dfrac{\partial f}{\partial x}=yze^{xz}$
$\implies f(x,y,z)=\dfrac{yz}ze^{xz}+g(y,z)=ye^{xz}+g(y,z)$

$\dfrac{\partial f}{\partial y}=e^{xz}=e^{xz}+\dfrac{\partial g}{\partial y}$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=xye^{xz}=xye^{xz}+\dfrac{\mathrm dh}{\mathrm dz}$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$f(x,y,z)=ye^{xz}+C$

$\mathbf r(t)=(t^2+5)\,\mathbf i+(t^2-1)\,\mathbf j+(t^2-5)\,\mathbf k$
$\implies\mathbf r(0)=5\,\mathbf i-\mathbf j-5\,\mathbf k$
$\implies\mathbf r(5)=30\,\mathbf i+24\,\mathbf j+20\,\mathbf k$

By the gradient theorem, we have for any path $\mathcal C$ originating at the point (5, -1, -5) and terminating at the point (30, 24, 20),

$\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=f(\mathbf r(5))-f(\mathbf r(0))=f(30,24,20)-f(5,-1,-5)$
$\implies\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=24e^{600}+e^{-25}$

4 0

2 years ago

Please help, having trouble. Show all work if you can :) Photo is attached.

Leto [7]

Answer:

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1 year ago

Find the Slope without graphing<br> (-4,3) (5,6)

CaHeK987 [17]

Use the equation y2-y1/x2-x1

This gets you the equation
6-3/5-(-4) which equals 3/9

Simplify it to get the actual slope

So the slope is 1/3x

6 0

2 years ago