Barbara plotted an elevation below sea level on a number line and labeled it a. she plotted point b above o, a distance that is exactly as far from 0 as point a is. explain what you know about point b.

According to Barbara's plot, the number line A, is above sea level, therefore, it's a positive line, in positive range.

On the other hand, the number line B has the same distance but in the opposite direction, is downwards the zero point. So, this means the B line is below sea level, because is in positive range. That's what we can deduct from this, because the characterization Barbara is doing is related to sea level.

what i would say the best answer is a. 40.5

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