Question

Suppose point z is halfway between point w and x a standard numberline, and point x is halfway between points z and y. Where is w if z is located at 1/3and y is located at 11/3

Answer 1

Answer:

The point w is located at -4/3

Step-by-step explanation:

Point z is halfway between point w and x

Point x is halfway between point z and y

Point z is located at 1/3 and point y is located at 11/3

Please refer to the number line attached

Then the x is located at the mid-point of z and y

$x = \frac{z+y}{2} \\\\x = \frac{\frac{1}{3}+ \frac{11}{3} }{2}$

$x = 2$

Since z is the mid-point of w and x

$z = \frac{w+ x }{2}\\\\\frac{1}{3} = \frac{w+ 2 }{2}\\\\\frac{2}{3} = w+ 2 \\\\w = \frac{2}{3} - 2\\\\w = -\frac{4}{3}$

Therefore, the point w is located at -4/3