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Nat2105 [25]
3 years ago
10

Factor 2s^3-27-18s+3s^2 by grouping

Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0
(2s+3)(s+3)(s-3)-----------
bazaltina [42]3 years ago
3 0
2s^3-27-18s+3s^2
(2s^3+3s^2)+(-18s-27)
s^2(2s+)-(2s+3)
(2s+3)(s^2-9)
(s+3)(s-3)(2s+3)

I hope this helps!!!!!!!
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Find the volume of a right prism with height h=10 cm, if :
kozerog [31]

Answer:

Step-by-step explanation:

          So, to begin the altitude of a triangle is the line segment that starts at the top vertex and ends at the base of the triangle forming a right angle. If we want to find the volume of the of the prism the formula is Ab*h. This is the area of the base, times the height of the prism. This is true because a simple expination of volume is a box filled with stuff. To count how much stuff we have in the box the formula uses layers. Volume is just like a lot of 2 dimential areas stacked on top of each other. So taking the area of the flat base and puting it on top of it self 10 time will give you the same prism thats in the problem. Now we just have to apply the consept. Since the base is a triangle and we need to find the area. The formula is b*h*1/2. Base time height times 1/2. The reason for this is also simlar to area. A triangle is half of a square, so to find the area of a square the formula is L*W. Since a triangle is half of a square you just multipuly it by 1/2. When solved you will get 4*3.5*1/2=7, the area of the base is 7 cm^2. Now appling the topic above we stack the base 10 times, so 7*10=70. In conculstion the volume of the prism would be 70 cm^2.

6 0
3 years ago
C=2(y-k) solve for y​
marshall27 [118]

Answer:

\blue{y = \dfrac{C + 2k}{2}}

Step-by-step explanation:

C = 2(y - k)

C = 2y - 2k

C + 2k = 2y

\dfrac{C + 2k}{2} = y

y = \dfrac{C + 2k}{2}

5 0
2 years ago
Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5
balandron [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

(\frac{r}{32s} )^{\frac{8}{5} }

It could be written as

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }

32 could be written as 2^{5}

So, replacing that in our expression

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}

\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }

This is the simplified form of given expression.  :  Answer

Hope it will help :)




6 0
3 years ago
Could someone answer the question with the photo linked below?
Ne4ueva [31]

Answer:

\sqrt{28}

Step-by-step explanation:

Let's pretend the empty, white space in the middle is a triangle. A right triangle. then we just use the pythogerean theorem to get the a.

\sqrt{a \:}  \: equals \:  {8}^{2}  -  {6}^{2}

5 0
3 years ago
-3(-2x-8)-(-5x+6) what are the steps to solve this
Eddi Din [679]

First distribute the -3 and the - sign

6x + 24 + 5x - 6

Combine like terms

11x + 18


8 0
3 years ago
Read 2 more answers
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