looking at a sequence of regular pentagons where each side has a lenth of 2 - one set right next to the other, in a row - how do i figure out an alg equation to represent perimeter (y) of each phase of the pattern? (x represents phase number)
Stacey Warren - Expert brainly.com
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I'm having trouble picturing this. Do adjacent pentagons share a side?
OK, so in phase 1 you have 5 sides of length 2 each.
Then in each additional phase, you add on 4 more sides of length 2 each, right?
Another way to think of it is that the pattern for the total perimeter starts at 10 when x=1, and then from there each time you increment x by 1, you increment y by 8....
(2+8) + 8 + 8 + 8..... etc.
Do you see a pattern there, that you can translate into an equation of x?
Not the answer you are looking for? Search for more explanations.
(Where you would limit the domain, x, to positive integers.)
These are my options: I thought I knew the answer, but now the way you are explaining it I think I was wrong. y = 2x + 3, y = 3x + 2, y = 3x + 5, y = 6x + 4,
Hmmm. I think maybe I don't understand what it is asking, because none of those look right to me. Oh wait.... is y supposed to be the total outer perimeter only? I was thinking it was the total length of the "edges".... with one edge "shared" for each additional pentagon. But if it is OUTER edge only, that will change things....
Which IS what "perimeter" should mean....|dw:1377713936482:dw|
yea thats what the question is asking
OK, then I apologize, my first post was modeling something else.
Now look at the pattern that you get.
For x=1 you have 5 sides, so y=2(5)=10
For x=2, you add only 3 sides, because the "shared" side isn't counted for either figure. so 8 sides total, and you have y=2(8)=16.
for x=3 and beyond, you will keep adding 3 sides each time.... so you have:
x=3 means 11 sides so 2*11=22
x=4 means 14 sides so 2*14=28
so you can use those points to find which equation works:
(1, 10) (2, 16) (3, 22) (4, 28) etc... and you should be able to see which answer is correct. :)
In fact, you can just calculate slope (since all the equations are linear) and that should be enough to tell which is right.