Let's practice a little algebra and set the second distance to x.
9/4=270/x
solve
9x=270*4
x=30*4
x=120
The second distance is 120.
Done! any question about this just ask me in the comment.
Answer: -9n+20
This is the same as 20-9n
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Explanation:
The jump from 11 to 2 is "minus 9"
The jump from 2 to -7 is also "minus 9".
Assuming this pattern continues on, we have an arithmetic sequence with
- a = 11 = first term
- d = -9 = common difference
The nth term can be found like so

Let's check the answer by trying n = 3

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.
We know that
a) find <span>the ratio of the perimeters
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3
b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>²*area smaller figure
scale factor²=area larger figure/area smaller figure
the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9
the answer Part b) is
169/9
the complete answer is
13/3 and 169/9