Graph the inequality on the axes below.

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

The first step is to graph the line 2x + y = -8. To do this, we can graph the x and y-intercepts. Letting x = 0, we get y = -8, so the y-intercept is -8. Letting y = 0, we get 2x = -8, so x = -4.

Graph the line between the points (-4, 0) and (0, -8). The line should be dotted, because this is a strict inequality (the points on the line are not part of the solution).

The next step is to substitute a point - I like to use (0,0): when x and y are equal to zero, we have 2(0)+0>-8, which is true. Therefore, the right side of the graph (which contains the point (0,0)) should be shaded. Note: If the inequality was not true, you would want to shade the opposite side of the graph.

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jeyben [28]

How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size & the height is quadrupled?

Volume of an oblique cylinder = π * r² * h

radius is reduced to 2/9 of its original size = r * 2/9 = (2r/9)
height is quadrupled = h * 4 = 4h

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Assume: r = 9 ; h = 10

V = π * 9² * 10 = 3.14 * 81 * 10 = 2,543.40

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3 years ago

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allochka39001 [22]

Answer:

a₁, a₂, a₃, . . .

Step-by-step explanation:

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Because the alphabets are only 26 in number we might run out of notations.

The simple logic behind the notion of $a_1, a_2, a_3, ...$ is that the numbers have no end and we can number as many variables we want using this logic.