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cricket20 [7]
3 years ago
15

What is the slope of 9x-3y=15

Mathematics
1 answer:
ANEK [815]3 years ago
3 0
  <span>Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -5.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-5.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
</span><span>
the Slope = 3  </span>
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Help math word problem
erastova [34]

Lets x = # pounds of coffe

70 - 8.06x = 37.76

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Answer

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Reference attached image for the problem.Please show your work for finding the partial area.
-Dominant- [34]

To find the area of a sector of a circle use the next formula:

A=\frac{\theta}{360º}*\pi *r^2

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

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\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\  \\ A=0.75*3.14*121in^2 \\  \\ A=284.955in^2 \end{gathered}Then, the approximate area of the given sector of a circle is 284.955 square inches
7 0
1 year ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

4 0
3 years ago
On a number​ line, suppose point E has a coordinate of -4 ​, and EG = 13. What are the possible coordinates of point​ G?
Ludmilka [50]

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

<h3>Find G</h3>
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    -4 - 13 = G2
  • 9 = G1
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The possible coordinates of G are 9 or -17.

7 0
1 year ago
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