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Mathematics

1 answer:

zimovet [89]2 years ago

7 0

root 12 + 5 root 3

2 root 3 + 5 root 3

7 root 3

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If the perimeter of a rectangle or piece of glass is 26 inches and the length is 4 inches longer than twice the width and what a

cricket20 [7]

2(2w+4+w)=26; 6w+8=26; w=3, l=10

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2 years ago

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,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=17\\
a_{17}=-22\\
a_1=2
\end{cases}
\\\\\\
-22=2+(17-1)d\implies -22=2+16d\implies -24=16d
\\\\\\
\cfrac{-24}{16}=d\implies -\cfrac{3}{2}=d$

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serena has 6,000 seeds to plant in her vegetable garden. She will plant 100 seeds per row. How many rows of vegetables will she

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Answer: 60 rows

Step-by-step explanation:

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3 years ago

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valina [46]

50 inches 4/5*x=40

x=40/(4/5)

x=40*5/4=200/4=50 x=50 inches

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Find the slope, or rate of change:

Sedbober [7]

3/2 because the proper solution is rise over run, in this case it rises 3 & runs to the right 2

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2 years ago

Need help WILL MARK BRAINLEST​

Need help WILL MARK BRAINLEST