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bekas [8.4K]
3 years ago
12

Dionte needs to make at least $140 over winter break to pay back his parents. If he makes $15 per sidewalk that he shovels for,

how many sidewalks must he shovel to meet his goal?
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

15 dollars from 1 sidewalk

140 dollars from ? sidewalks

140/15 =9.333(bar)

Dionte needs to shovel 10 sidewalks

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The probable number of prople sent to US emergency rooms by 2090 can be between 22,050 and 23,100

Step-by-step explanation:

Total sent to US emergency room by 2010= 21000

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Hence the final numbers in 2090 would be 5 to 10% more than the total cases in 2010

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

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Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

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and the distance between (x, y) and the directrix y = 7 is

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On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

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