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balandron [24]
3 years ago
6

The system containing the lines ___ and ____ has no solution

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

The system containing the lines a and c has no solution

Step-by-step explanation:

A solution on a system occurs by having the lines to intersect each other. In the picture, a and c are parallel and therefore would not intersect. Pairs ab and ad can create a solution because they will eventually intersect.

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

a_4=54 and a_7=1458

To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

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This can be written as

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Taking cube root on both sides of the equation, we get

r = 3

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