Rectangle ABCD has a length of 8n – 8 and a width of 3n - 1.
1 answer:
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Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Step-by-step explanation:
a.)7, 4, 1, -2, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
b.)-11, -3, 5, 13, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
Hence,
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
For the first one use the slope formula: 
So for you that would look like this:
For number 2, in order for a slope to be 0, it has to be a completely horizontal line with no steepness whatsoever. That can ONLY happen with lines that are "y=some constant with no x". So that answer has to be y = -5. For that last one, we have to use the slope-intercept form of a line and use the point they give us along with the slope to find the y-intercept, or the "b". That looks like this for us:
so b= 5/6. So our equation, fitting the slope and y intercept back in, gives us 
So for you that would look like this:
For number 2, in order for a slope to be 0, it has to be a completely horizontal line with no steepness whatsoever. That can ONLY happen with lines that are "y=some constant with no x". So that answer has to be y = -5. For that last one, we have to use the slope-intercept form of a line and use the point they give us along with the slope to find the y-intercept, or the "b". That looks like this for us: