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r-ruslan [8.4K]
3 years ago
5

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
To write the equation of a line, we need 1) a point on the line 2) it's slope For the point, we just substitute in the equation of the line intersecting it with x=3 (because they share this point) Therefore, 2*3-3y=6 --> That gives y=0 Then the point is (x1,y1)=(3,0) We already have the slope : m=2 Now we should use this relation for the required line equation (y-y1) / (x-x1) = m Then (y-0) / (x-3) = 2 Then y = 2*x - 6 And that is the required form where 2 is the slope and -6 is the intercept
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" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a
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Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a  height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let  it melt.

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<em>The volume of one scoop of ice cream = 12.47 inches³.</em>

<u><em>So, as the volume of scoop of ice cream is more than the volume of cone.</em></u>

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Therefore, no the cone will not hold all of the ice cream.

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