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Luda [366]
4 years ago
8

Can anyone please help me determine the slope of the line in the graph.

Mathematics
1 answer:
juin [17]4 years ago
6 0

Answer:

slope = 2

Step-by-step explanation:

To find the slope, we need to read 2 points off the graph.

Where the line crosses the y-axis, the point is (0, 2.5).

The next point up on the line looks like (1, 4.5).

slope = m = (difference in y)/(difference in x)

To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.

difference in y = 4.5 - 2.5 = 2

difference in x = 1 - 0

slope = m = (difference in y)/(difference in x) = 2/1 = 2

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Which case would be the most appropriate
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Answer:

Case (c) will be the most appropriate  for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula :<u> V = πr²h</u> , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

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In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

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r = 16 cm

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4 years ago
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Answer:

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Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

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When the center of the circle coincides with the origin h=k=0, so

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We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius <em>r</em>.

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Therefore, the standard form of the equation of the circle is x^2+y^2=1.

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