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valentinak56 [21]
3 years ago
8

What is the equation of the line x-3y = 18 in slope-intercept form ?

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0
Attached the solution and work.

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How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?
Leviafan [203]

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= \pi r^{2}

= \pi (3x)^{2}

= 9\pi x^{2}

Total number of buttons = x

Fabric required to cover 1 button = 9\pi x^{2}  

Fabric required to cover x buttons = x(9\pi x^{2} )

=9\pi x^{3}

Hence, fabric required to cover x buttons =9\pi x^{3}  sq. units


3 0
3 years ago
Solve the differential equation by separation of variables<br> x(dy/dx)=4y
weeeeeb [17]
<span>get all your x one on side and y on the opposing side so we have
xdy=4ydx
dy/y=4dx/x
</span><span>integrate both sides
</span><span>lny=4lnx+C
</span><span> y=e^(4lnx+C)
</span><span>The answer is y=cx^4 </span>

3 0
3 years ago
Divide x4+2x2−24<br> by x+2
Ipatiy [6.2K]

\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{  x+2  } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8  \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\  _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}&   \\  _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }

\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}

7 0
2 years ago
Read 2 more answers
How do I use the arc length to find the circumference ?
Mashutka [201]
<span>arc length   =   circumference • [central angle (degrees) ÷ 360]

Solving this equation for circumference:
</span>
<span>circumference = arc length / (central angle / 360)

</span><span>circumference = 12 / (85/360)

</span>circumference = 12 / <span><span>0.2361111111 </span>
</span>
<span>circumference = </span> <span> <span> <span> 50.8235294118 </span> </span> </span>

Source:
http://www.1728.org/radians.htm


8 0
3 years ago
Which is the better deal?
Reptile [31]

Answer:

The better deal is 10 cans of soda for $5.50

Step-by-step explanation:

  • 6 cans of soda for $3.60 means each can of soda is worth .60 cents
  • 4 cans of soda for $2.36 means each can of soda is worth .59 cents
  • 10 cans of soda for $5.50 means each can of soda is worth .55 cents

Therefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.

Hope this helped!

7 0
3 years ago
Read 2 more answers
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