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gayaneshka [121]
3 years ago
15

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

y = 3x+5 or x=-2 y=5

Step-by-step explanation:

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Raphael graphed the system of equations shown.
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Is 2(6-3x) + x equivalnt to 2(3x) + x? Show your work
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No

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2(6-3x)+x after PEMDAS becomes 12-5x

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3 years ago
A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. find the height and radius of the cup that will use the
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The formula for volume of cone is:

V = π r^2 h / 3

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Simplfying in terms of r:

r^2 = 108 / π h

To find for the smallest amount of paper that can create this cone, we call for the formula for the surface area of cone:

S = π r sqrt (h^2 + r^2)

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S = π sqrt(108 / π h) * sqrt[(π h^3 + 108) / π h] 

Surface area = sqrt (108) * sqrt[(π h + 108 / h^2)] 

<span>Getting the 1st derivative dS / dh then equating to 0 to get the maxima value:</span>

dS/dh = sqrt (108) ((π – 216 / h^3) * [(π h + 108/h^2)^-1/2] 

Let dS/dh = 0 so,

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h^3 = 216 / π

h = 4.10 cm

Calculating for r:

r^2 = 108 / π (4.10)

r = 2.90 cm

 

Answers:

 h = 4.10 cm

<span>r = 2.90 cm</span>

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