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Neko [114]
3 years ago
9

Standard form to slope intercept form 6x+5y=50

Mathematics
2 answers:
cestrela7 [59]3 years ago
6 0
To put it in slope intercept form, you want to solve for y.
5y = -6x + 50
y = -6/5x + 10

So, your slope is -6/5 (or -1.2) and your y-intercept is +10.
Oksana_A [137]3 years ago
5 0
Hope this helps you y+10
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8x – 6 = 2 (4x + 3) <br><br> Is it no solution?
loris [4]

Answer:

X=12

Step-by-step explanation:

8×-6=2(4×+3)

8x-6=8×+6

8×-8×=6+6

×=12

4 0
3 years ago
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Identify the equation of the circle that has its center...
Nat2105 [25]

Answer:

Option C

Step-by-step explanation:

Standard equation:

r^2 = (x-h)^2 + (y-k)^2

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Center: (h,k)

Plug the values in.

r^2 = (x+8)^2 + (y-15)^2

Using distance formula, you conclude that the radius is 17 since the distance from (-8,15) to (0,0) is 17.

r^2 = 289

That means option C is the right answer.

289 = (x+8)^2 + (y-15)^2

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8 0
3 years ago
80. A certain insect has a mass of 75 milligrams.
pickupchik [31]
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3 years ago
What is the formula of volume ofba rhombic prism
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8 0
4 years ago
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A particle moves along line segments from the origin to the points (2, 0, 0), (2, 4, 1), (0, 4, 1), and back to the origin under
Shkiper50 [21]

The work is equal to the line integral of \vec F over each line segment.

Parameterize the paths

  • from (0, 0, 0) to (2, 0, 0) by \vec r_1(t)=t\,\vec\imath with 0\le t\le2,
  • from (2, 0, 0) to (2, 4, 1) by \vec r_2(t)=2\,\vec\imath+4t\,\vec\jmath+t\,\vec k with 0\le t\le1,
  • from (2, 4, 1) to (0, 4, 1) by \vec r_3(t)=(2-t)\,\vec\imath+4\,\vec\jmath+\vec k with 0\le t\le2, and
  • from (0, 4, 1) to (0, 0, 0) by \vec r_4(t)=(4-4t)\,\vec\jmath+(1-t)\,\vec k with 0\le t\le1

The work done by \vec F over each segment (call them C_1,\ldots,C_4) is

\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r_1=\int_0^2\vec0\cdot\vec\imath\,\mathrm dt=0

\displaystyle\int_{C_2}\vec F\cdot\mathrm d\vec r_2=\int_0^1(t^2\,\vec\imath+24t\,\vec\jmath+32t^2\,\vec k)\cdot(4\,\vec\jmath+\vec k)\,\mathrm dt=\int_0^1(96t+32t^2)\,\mathrm dt=\frac{176}3

\displaystyle\int_{C_3}\vec F\cdot\mathrm d\vec r_3=\int_0^2(\vec\imath+(24-12t)\,\vec\jmath+32\,\vec k)\cdot(-\vec\imath)\,\mathrm dr=-\int_0^2\mathrm dt=-2

\displaystyle\int_{C_4}\vec F\cdot\mathrm d\vec r_4=\int_0^1((1-t)^2\,\vec\imath+2(4-4t)^2\,\vec k)\cdot(-4\,\vec\jmath-\vec k)\,\mathrm dt=-2\int_0^1(4-4t)^2\,\mathrm dt=-\frac{32}3

Then the total work done by \vec F over the particle's path is 46.

8 0
3 years ago
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