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dimulka [17.4K]
3 years ago
13

Write the standard form of the line that has a slope of - and y-intercept of -2. Include your work in your final answer. Type yo

ur answer in the box provided or use the upload option to submit your solution.
Mathematics
2 answers:
Nitella [24]3 years ago
7 0
Slpe intercept form is 
y = mx + b  where m=slope and b = y-intercept

so here we have
y = -x - 2

standard form is x + y = -2
ehidna [41]3 years ago
6 0
You need to go from slope-intercept (y=mx+b) to standard form (ax + by = c).    

slope-intercept form of your provided values:  
y=-x-2  
now, solve for x and y  
x+y=-2  
  
Your answer is x+y=-2.
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The numbers that have a negative sign in front of them come first because they are less than 0. The other numbers can be ordered by what comes first. For example, 3 is bigger than 1 so 3 would come after 1.

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sladkih [1.3K]

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Width = 40ft

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alexgriva [62]

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Identify the diameter of the circular base created by folding the figure into a right cone. HELP ASAP PLEASE!!
Akimi4 [234]

let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.

think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.

now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area.  Well, what is the circumference of that shaded area?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies C=2\pi 12\implies C=24\pi \implies \stackrel{\textit{three quarters of it}}{24\pi \cdot \cfrac{3}{4}} \\\\\\ 6\pi \cdot 3\implies 18\pi

well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{diameter is twice the radius}}{d=18}~\hfill

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3 years ago
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