As the number of sides of a regular polygon increases what happens to the shape of the polygon?

Mathematics

2 answers:

Ilya [14]3 years ago

6 0

It changes shape and is no longer a polygon. i would say it would make a pentagon eventually.

Ann [662]3 years ago

6 0

Polygon means many sides, no specific number of sides

as sides increase, the shape gets closer to looking like a circle

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Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all

Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0

2 years ago

Read 2 more answers

The graph of f(x) = 2x is shown on the grid.

solniwko [45]

Answer:

see below

Step-by-step explanation:

Oddly enough, it is the one that with f(x) <em>reflected over the y-axis</em>. All points on the graph are mirrored across that axis (x is changed to -x, y is left alone).