Points X and Z are on a number line, and point Y partitions line XZ into two parts so that the ratio of the length of line segme
nt XY to the length of line segment YZ is 1:4. The coordinate of X is 1.3, and the coordinate of Y is 3.8. What is the coordinate of Z?
1 answer:
Answer:
<h3>13.8</h3>
Step-by-step explanation:
if Points X and Z are on a number line and point Y partition line XZ into two parts where XY: YZ = 1:4, this can be expressed as;
XY/YZ = 1/4
cross multiply;
YZ = 4XY
Also, if The coordinate of X is 1.3, and the coordinate of Y is 3.8, then the distance XY will be expressed as XY = 3.8 - 1.3
XY = 2.5
YZ = 4(2.5)
YZ = 10
Since Y is at 3.8 and YZ is 10, then coordinate Z will be YZ + Y
coordinate of Z = 10+3.8
coordinate of Z = 13.8
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