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20.9, 34

Step-by-step explanation:

How to find mean: add up all the numbers and  divide by how many numbers

19, 19, 20, 20, 20, 21, 22, 22, 22, 22, 23

(19+19+20+20+20+21+22+22+22+22+23)/11=230/11=20.9(rounded)

If the new mean is 22, sum of all the numbers is 22 times 12=264

264-230=34(new player age)

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct