Let (2.97, 9.41) represent an interval on the number line. Complete parts (a) and (b) below. (a) Find the value that is in the middle of the interval. The value is nothing. (Type an integer or a decimal. Do not round.) (b) Find the distance from the middle of the interval to either endpoint. The distance is nothing. (Type an integer or a decimal. Do not round.)

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