MATH SOLVE

3 months ago

Q:
# You found some, but not all, of the correct numbers.Suppose that Y and Z are points on the number line.If YZ= 7 and Y lies at 4, where could Z be located?If there are several locations, separate them with commas.

Accepted Solution

A:

Answer:Z=-3 or Z=11Step-by-step explanation:we know thatThe distance between point Y and point Z is 7 unitsThe point Y is located on the number line at 4we have two possibilitiesThe point Z could be located to the right of point YThe point Z could be located to the left of point YsoZ is either 7 units to the left of 4 or 7 units to the right of 4First case point Z to the right of point YTo find out the coordinate of point Z sum the distance YZ to the coordinate of point Yso(4+7)=11thereforeThe first possibility is Point Z is located at 11Second case point Z to the left of point YTo find out the coordinate of point Z subtract the distance YZ from the coordinate of point Yso(4-7)=-3thereforeThe second possibility is Point Z is located at -3thereforeZ=-3 or Z=11