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bixtya [17]
3 years ago
11

What is the following product? (Square root 12 + square root 6) (square root 6 - square root 10)

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:

6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}

Step-by-step explanation:

(\sqrt{12} +\sqrt{6} )(\sqrt{6}-\sqrt{10}  )

\ \sqrt{12} \sqrt{6} -\sqrt{12} \sqrt{10}  +\sqrt{6} \sqrt{6} -\sqrt{6} \sqrt{10}

\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}

6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}

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Find d for the arithmetic series with S17=-170 and a1=2
Irina18 [472]
So, we know the sum of the first 17 terms is -170, thus S₁₇ = -170, and we also know the first term is 2, well

\bf \textit{ sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
n=17\\
S_{17}=-170\\
a_1=2
\end{cases}
\\\\\\
-170=\cfrac{17(2+a_{17})}{2}\implies \cfrac{-170}{17}=\cfrac{(2+a_{17})}{2}
\\\\\\
-10=\cfrac{(2+a_{17})}{2}\implies -20=2+a_{17}\implies -22=a_{17}

well, since the 17th term is that much, let's check what "d" is then anyway,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d
6 0
4 years ago
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function
-BARSIC- [3]

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example y=\frac{1}{x}:

  • As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
  • As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

8 0
3 years ago
18−5z+6z&gt;3+6<br><br> Solve the inequality.
Mademuasel [1]
18 - 5z + 6z > 3 + 6
         18 + z > 9
       - 18      - 18
                 z > -9

Solution Set: (-9, ∞)
8 0
4 years ago
please solve the answer and show your work so kara and her four friends ate dinner together at a new restaurant. when bill came,
Free_Kalibri [48]
So, you know that there were 5 people there, Kara and 4 friends. To divide equally, just divide 42.30 by 5=

42.30/5 = 8.46

Each person played $8.46.

Hope this helps!!
~Kiwi
8 0
3 years ago
Solve by factoring: 8p2 - 64p = 0
sukhopar [10]
You begin with moving all terms to the left side and set them equal to zero. Then you set each factor equal to zero and you should come out with p= 0,8
3 0
3 years ago
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