What is the area of the shaded region?

Mathematics

1 answer:

ella [17]3 years ago

3 0

33cm

Because add all of them then subtract then do the parenthasees and you get 33

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4.7 + (-3.65) how do I work this

zimovet [89]

Answer:

Explanation:

Adding a negative is the same thing as subtracting so rewrite the equation

4.7 + (-3.65)

= 4.7 - 3.65

1.05

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3 years ago

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Here is a histogram that shows the number of points scored by a college basketball player during the 2008 season. Describe the s

natima [27]

The shape of the histogram is positively skewed and the mean of the histogram is greater than the median

<h3>How to interpret the histogram?</h3>

From the complete question (see attachment for histogram), we have the following observations:

The bars at the left have greater heights than the bars at the right
The bars are of equal widths

The first highlight above means that the shape of the histogram is positively skewed.

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RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)