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butalik [34]
3 years ago
11

Find the slope between the following points (-9,10) and (0,-2)

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

Step-by-step explanation:

10- -2 which gives you 12 cause the negatives make a positive.

-9 -0= -9

12 over -9 which simplifies to 4 over -3

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What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?
Akimi4 [234]
\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------

\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5
4 0
3 years ago
Read 2 more answers
Find the 52nd term of the following arithmetic sequence.<br> 17, 22, 27, 32, ...
rewona [7]

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

4 0
3 years ago
Whats the sum of the polynomials (2x3 − 5x − 1) + (4x3 + 8x + 3)
Ipatiy [6.2K]

Answer: 23x

Step-by-step explanation:

5 0
3 years ago
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Line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p
telo118 [61]

Perpendicular slopes multiply to -1, so are <em>negative reciprocals.</em>

-1 / -3 = 1/3

Answer: B.  1/3

6 0
3 years ago
The result of which expression will best estimate the actual product
prisoha [69]

Answer:

The answer is,

(-1) \times \frac {1}{2} \times (-1) \times (1)

Step-by-step explanation:

The given product is,

\frac {-4}{5} \times \frac{3}{5} \times \frac{-6}{7} \times \frac {5}{6}

= \frac {12}{35}

\simeq 0.3429 ---------------------(1)

Now, the first product to compare is,

(-1) \times \frac {1}{4} \times (-1) \times (-1)

= - 0.25 ----------------------------(2)

The second product to compare is,

(-1) \times \frac {1}{2} \times (-1) \times (1)

= 0.5 ------------------------(3)

The 3rd product to compare is,

\frac {-4}{2} \times \frac {3}{2} \times \frac{-2}{5} \times \frac {5}{2}

= 3 ----------------------------(4)

The 4th product to compare is,

\frac {-3}{4} \times \frac {-3}{4} \times \frac {-1}{5} \times \frac {1}{2}

= \frac {-9}{160}

= 0.05625 -----------------(5)

Comparing all the values , we get (3) is closest to (1).

Hence, we get, the answer is,

(-1) \times \frac {1}{2} \times (-1) \times (1)

3 0
3 years ago
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