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Sergeeva-Olga [200]
3 years ago
6

Which line has a slope of 1, and which has a slope of 2?

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

Line "L" has the slope of 1 and line "K" has the slope of 2.

In order to graph a line with the slope of \frac{1}{3} think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)

Step-by-step explanation:

A slope of "1" is simply \frac{1}{1} so you rise up one and move to the right once. This clearly demonstrated on line "L".

A slope of "2" is \frac{2}{1} so you rise up two and move to the right once, as is demonstrated on line "K".

For the 2nd question, line "A" will have a slope of \frac{1}{3} therefore it will move up once and then to the side three times. It will look like the image attached to this answer.

I hope this helped! Feel free to ask questions if needed!

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Answer:

Below is the graph which answers your question. Hopefully this helps :)

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Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)
DENIUS [597]
By the chain rule,

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}

We have

\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}
\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}
\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}

\dfrac{\mathrm dx}{\mathrm dt}=7\cos t
\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t
\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t

So we have

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)
\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}
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Select the correct answer.
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Answer:

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3 years ago
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Answer:

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You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Anastasy [175]

Answer:

  • 132 g

Step-by-step explanation:

  • Initial amount = 2112 g
  • Time = 188 days
  • Half-life = 47 days

188 days / 47 days = 4 periods

<u>Mercury left after 188 days:</u>

  • 2112 * (1/2)^4 =
  • 2112* 1/16 =
  • 2112/16 =
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4 0
3 years ago
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