What is the next number in the pattern 3,12,48,192____? What is the pattern
1 answer:
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Answer:
and
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.
Your first equation is already in terms of x, so simplify your second equation.
Now you can simplify your third equation.
These are your three equations in terms of y:
Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of , as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.
I'm guessing the series is
Use the ratio test: we have
The series converges for
which has a radius of convergence of 1.