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3 years ago

HELP PLEASE!!! WILL CROWN BRAINLIEST....

Mathematics

1 answer:

natali 33 [55]3 years ago

5 0

Answer:

Step-by-step explanation:

idnk sorry

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Correct 89.6162 to two decimal places

JulsSmile [24]

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6 so we add one to the second place.

4 0

3 years ago

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How do you solve this linear equation 3x+2=x+2x+4 ?

Svetach [21]

3x+2=x+2x+4
-2 -2
3x=x+2x+4-2
3x=3x+4-2
-3x -3x
x= 4-2
x=2

7 0

3 years ago

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Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

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)

Then the integral becomes:

$\displaystyle\int_0^1 2\pi\,x\,(8x-9-x^2)\,dx$

Notice the limits of the integral are the x-axis (x=0) and the intersection of the parabola and the line that we found before (x=1)

Now, solving the integral:

Start by factoring the $2\pi$ and distributing the x:

$=\displaystyle2\pi \int_0^19x-8x^2-x^3dx$

Then use the basic rule to integrate:

$=\displaystyle2\pi \left[\frac{9x^2}{2}-\frac{8x^2}{3}-\frac{x^4}{4}\right|_0^1$

Then evaluate the antiderivative in the limits and subtract:

$=\displaystyle2\pi\left[\frac{9}{2}-\frac{8}{3}-\frac{1}{4}-0\right]=\frac{19\pi}{6}$

So the volume of the solid is $\displaystyle\frac{19\pi}{6}$

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3 years ago

Find the slope of the line that contains the points named.<br> P(1, 2), Q(3, 4

AnnyKZ [126]

P(1, 2), Q(3, 4)
we find the slope dividing the y over the x, that is:
m = (4 - 2)/(3 - 1) = 2/2
m = 1
and then use the line equation for a point and slope:
y - y1 = m(x - x1)
where (x1, y1) is a point through which the line passes, we use P(1,2):
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x
therefore the slope is 2 and the y-axis intercept is 0

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4 years ago

The perimeter of a rectangle is 156 inches. The length of the rectangle is five times its width. Find the area of the rectangle.

svlad2 [7]

Answer:

Step-by-step explanation:

i think

8 0

3 years ago