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Tju [1.3M]
3 years ago
13

Simplify as much as possible. 2w?V32wu? + u V 18w5 ?

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

11 {w}^{2}u \sqrt{2w}

Step-by-step explanation:

I'm never sure how far to go on these questions but I think what I'e done looks pretty nice. Essentially I simplified each radical, factored out each variable, combined the radicals after more simplification, and then picked the answer you were most likely looking for. I gave some alternatives in my work that are "simple" too, but the answer above is most likely I'd say.

Work is in the attachment, comment with any questions.

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3 X 5 power or 2
Ainat [17]
225 3x5 is 15 and to the power of 2 is 15x15 so multiply and you get 225 hope it helps
5 0
3 years ago
A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.
EastWind [94]

Answer:

Surface Area of right cone  

               =\pi r(r+\sqrt{h^2 + r^2}

440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\

\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227}  = 10.96in

7 0
2 years ago
Plz answer the question attached
Agata [3.3K]

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5

4 0
3 years ago
What is the solution to 3-3x + 9| = -18?
solmaris [256]

Answer:

x = 5 or x = 1

Step-by-step explanation:

Absolute Value Equation entered :

     3|3x-9|=18

Step by step solution :

Step 1: Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|3x-9| = 18

Step 2: Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|3x-9|

For the Negative case we'll use -3(3x-9)

For the Positive case we'll use 3(3x-9)

Step 3: Solve the Negative Case

     -3(3x-9) = 18

Multiply

     -9x+27 = 18

    Rearrange and Add up

     -9x = -9

    Divide both sides by 9

     -x = -1

    Multiply both sides by (-1)

     x = 1

    Which is the solution for the Negative Case

Step 4: Solve the Positive Case

(3x-9) = 18

    Multiply

     9x-27 = 18

    Rearrange and Add up

     9x = 45

    Divide both sides by 9

     x = 5

    Which is the solution for the Positive Case

Step 5:  Wrap up the solution

x=1

x=5

Solutions on the Number Line

 

Two solutions were found :

x=5

x=1

8 0
2 years ago
Delegates from 10 countries, including Russia,
ankoles [38]

Answer: 564480 arrangements

Step-by-step explanation:

First, let's consider the French and English delegates as one party because they will sit next to each other.

So total delegates if French and English are always together comes out to be 9 instead of 10.

Now, they are to sit in a row and can have different seats so the total number of ways they can sit is= 2 x 9!= 725760 ways.

Now, when Russian and U.S delegates are not to sit next to each other so consider similarly like before consider them as one unit like French and English. Now they can also change their seats so number of way for them= 2 x 2 x 8!= 161280 ways

To find out when French and English delegates are together and Russain and U.S delegates are not together we subtract the way from the original value.

725760-161280= 564480 way.

4 0
3 years ago
Read 2 more answers
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