Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment

The second step ensures that the new line segment has the same length as the original segment.

Step-by-step explanation:

The steps to copy a line segment:

1. Move the compass center to point P.

2. Adjust the radius of the compass to the length of the original line segment (PQ).

3. Move the compass center to R.

4. Draw an arc that intersects the line to the right of R.

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0