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bezimeni [28]
3 years ago
8

What is the slope of a line perpendicular to a line with slope -8 ?

Mathematics
2 answers:
Flauer [41]3 years ago
5 0
It’s going to be (1/8)x or x/8...
Alexandra [31]3 years ago
4 0

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-8\implies \cfrac{-8}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-8}}\qquad \stackrel{negative~reciprocal}{\cfrac{1}{8}}}

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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
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
myrzilka [38]

\huge \bf༆ Answer ༄

The Correct choice is B. Vertical

<u>V</u><u>ertical</u> Angles have each of the pairs of opposite angles made by two intersecting lines .

8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to -6+49 + (-69)?
m_a_m_a [10]

Answer:

I'm pretty sure it's none of the above

Step-by-step explanation:

Sorry if you get it wrong :/

3 0
3 years ago
Jerod delivers pizzas part-time. Last year he drove 4071 miles. This year he drove 5103 miles. How many more miles did he drive
poizon [28]

Answer:

1032 miles

Step-by-step explanation:

We have : 5103 - 4071 = 1032(miles)

So he drove more 1032 miles this year than last year

6 0
3 years ago
Read 2 more answers
This is simple, but I don't have time to do this now, list the composite numbers from 2-50 please!
Kamila [148]
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50
6 0
3 years ago
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