Find the slope of a line perpendicular to y=⅖x+⅘

2 answers:

6 0

To find the slope perpendicular we will take our original slope (2/5) and find the reciprocal.
To do this, we will flip the slope (so we get 5/2) and make it negative so we get our final perpendicular slope of -5/2

zloy xaker [14]3 years ago

4 0

Answer:

-2.5

Step-by-step explanation:

The perpendicular slope will be the opposite reciprocal of the original slope.
So the slope of the perpendicular will be:

$\frac{-1}{0.4}$ = -2.5

If we were asked to give the equation of the perpendicular it would be:

-2.5x+ 4/5

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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

$\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714$

6 0

3 years ago

Read 2 more answers

Cups of water fill 4 identical water bottles. How many cups fill each bottle?

Anna71 [15]

Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)