0.121122111222... if the pattern continues, is this a repeating decimal? why or why not?

1 answer:

3 0

First we observe pattern here. The pattern is one number "1" and one number "2" than two numbers "1" and two numbers "2" and so on. Every next array of numbers 1 and 2 will have one extra member.

Because of this, 0.121122111222... isn't repeating decimal. Repeating decimal has some number of decimals that keep repeating. For example if we had:
0.121122 121122 121122 ... this would be repeating decimal because 121122 segment keeps repeating.

In your task you can't find a segment that keeps repeating.

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b: