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weqwewe [10]
1 year ago
10

Find the slope of this line

Mathematics
1 answer:
Yanka [14]1 year ago
8 0

Answer:

Undefined (DNE)

Step-by-step explanation:

Any vertical line has an undefined slope.

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21
Ilya [14]
This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34  + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

\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=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}

and now let's use those 2 found folks, to get the 21st 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=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104
3 0
3 years ago
There are 2 cups in one pint how many cups are in 5 pints
olga nikolaevna [1]
There will be 10 cups in 5 pints because it went by to 5x2=10 and there is 2 cups so its 5 in 2 cups = 10
hoped this helped.
7 0
3 years ago
I middle school took all of it six grade students on a field trip to see a play the students field 2200 seats which was 55% of t
erastova [34]
I believe the answer is 4300
8 0
3 years ago
Please help i am super confused and it is worth a lot of points !!!!<br><br> Find the measure of
garri49 [273]

Answer:

its probably around 110*  or 100

Step-by-step explanation:

3 0
2 years ago
Find the volume of a right circular cone that has a height of 18.6 m and a base with a radius of 15.5 m. Round your answer to th
ExtremeBDS [4]

This one should have come before the other one. We apply the cone formula

V = \frac 1 3 \pi r^2 h

V = \frac 1 3 \pi(15.5)^2 (18.6) \approx 4679.6 \textrm{ cubic meters}

4 0
3 years ago
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