Question

Point x is at 2/3 on number line. On the same number line point y is the same distance from 0 as point x but has a numberator of 8 whay is the denominator line to model the problem

Answer 1

Answer:  The answer is 12.

Step-by-step explanation: Given that a point 'x' is lying at $\dfrac{2}{3}$ on the number line. Another point 'y' is also lying at the same distance from 0 but has a numerator of 8. We are to find the denominator of 'y'.

Since 'x' is lying at $\dfrac{2}{3}$ on the number line so its distance from 0 will be

$d_x=\dfrac{2}{3}-0=\dfrac{2}{3}.$

Let the denominator of 'y' be p, then its distance from 0 will be

$d_y=\dfrac{8}{p}-0=\dfrac{8}{p}.$

According to the given information, we must have

$d_x=d_y\\\\\\\Rightarrow \dfrac{2}{3}=\dfrac{8}{p}\\\\\\\Rightarrow p=\dfrac{8\times 3}{2}=12.$

Thus, the denominator will be 12.