Answer:



And that's different from the claim of the student that:

The error of the student is that he/she changes the sign of the inequality from
to
and that's not possible since we don't multiply both sides of the equation by -1
Step-by-step explanation:
For this case we have the following inequality:

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

Now we can divide both sides of the inequality by 2 and we got:

And that's different from the claim of the student that:

The error of the student is that he/she changes the sign of the inequality from
to
and that's not possible since we don't multiply both sides of the equation by -1
If you count the squares or units I got 12.
Answer:
The polygon with the smallest perimeter is the megagon
The polygon with the largest perimeter is the triangle
Step-by-step explanation:
An equilateral triangle with area = 20 has
0.5× a²×sin60 = 20
a= 6.796
Hence, perimeter = 20.39
A square of area 20 has perimeter= 4×√20 = 17.9
A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05
Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases
Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.
6.20 x .15 = .93
6.20-.93= 5.27
107.27-5.27=102
102 x .15 = 15.3
102+15.3=117.3
$117.3