Respuesta :

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.

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