Which of the following is not a possible value of x? a. -0.2 b. 0 c. 1 d. 3

Option D. 3

Step-by-step explanation:

For all the given options, let's substitute these values and check what length do they give for 5x+3.

A) -0.2:

5x+3 = 5 (-0.2) + 3 = 2

B) 0:

5x+3 = 5 (0) + 3 = 3

C) 1:

5x+3 = 5 (1) + 3 = 8

D) 3:

5x+3 = 5(3) + 3 = 18

So in my opinion, the option D. 3 cannot be possible value for x. The reason being that 3 gives us a length of 18 which is already shown in the diagram as the longest length.

While 5x+3 looks way smaller than the one shown by 18.

3

step-by-step explanation:

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