3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

and collecting like terms:

We find that the perimeter of both shapes is equal to 11 units.
so is it has 100 puzzles less than board games and you have 263 board games just subtract 263-100 which is 163. if it has 10 more action figures than puzzles and you have 163 puzzles you would add 10 to 163 which would give you 173 action figures.
163 puzzles and 173 action figures is the answer
Answer:
y=-1/2x-3
I hope this helps u :)
Step-by-step explanation:
Answer:
p=ak^t
p1=491272*k^0
p2=782341*k^10
782341/491272 = k^10
k=1.047629
growth rate is 4.7629%
2012: predicted population is 491272*1.047629^12=858,642 people
1245863=491272*1.047629^t
1.047629^k=2.5363599
ln both sides is k ln 1.0476=ln 2.5363
t=20.000 years.
Rule of 72 would say 72/4.76 or 15.12 years for doubling
14.90 years
2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.
Answer:
Option (d) is correct.
The given polynomial
is a prime polynomial.
Step-by-step explanation:
Given : 
We have to factorize it completely.
Since , factorization is the process of reducing a given polynomial into a lower degree polynomial by taking common factors out into the simplest form.
Consider the given polynomial 
Since the given polynomial do not have any term common in both terms .
So we cannot factorized it further.
So, the given polynomial
is a prime polynomial.
Thus, Option (d) is correct.