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DaniilM [7]
3 years ago
12

Please I need this asap, my answer is wrong

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Answer: 512\pi

Step-by-step explanation:

Given

Equation of curve is x=\sqrt{8+y}

When this curve is rotated about the y-axis, then volume generated is given by

V=\int_{a}^{b}\pi x^2dy

When x=0, y=-8

Put the limits and solve the integral

\Rightarrow V=\int_{-8}^{24}\pi (8+y)dy\\\\\Rightarrow V=\pi\left (  8y+\dfrac{y^2}{2}\right )_{-8}^{24}\\\\\Rightarrow V=\pi \left (  8\times 32+\dfrac{24^2-8^2}{2}\right )\\\\\Rightarrow V=512\pi

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What is the value of a fraction when the numerator and denominator are the same? Please help.
vagabundo [1.1K]
The value would be always 1 because....
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3 years ago
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If a square is dilated by a factor of 2 what is the measure of each individual angle
vodomira [7]

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

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3 years ago
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

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3 years ago
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Answer:240

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300*80%=240

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