Answer:
Denominator of point Y is 12.
Step-by-step explanation:
The given question is incomplete ; here is the complete question.
On a number line, point X is located at [tex]\frac{2}{3}[/tex]. On a second number line, point Y is at the same distance from 0 as the point X, but has a numerator of 8.
What is the denominator of the point Y?
Distance of X from 0 on the number line = [tex]\frac{2}{3}[/tex]
Second point Y is in the form of a fraction = [tex]\frac{x}{y}[/tex]
Since numerator of the fraction is 8
Therefore, point Y will be = [tex]\frac{8}{x}[/tex]
and distance of point Y from 0 is same as [tex]\frac{2}{3}[/tex]
Therefore, [tex]\frac{2}{3}-0=\frac{8}{x}-0[/tex]
x = [tex]\frac{3\times 8}{2}[/tex]
x = 12
Therefore, denominator of the fraction will be 12.