Question

Let O, Pand Q represent the numbers 0,4and -3 respectively, the no. line. Points R, S, T, U and V are between 0 and P such that OR=RS=ST=TU=UV=VP and points W, X, Y and Z a such that QW = WX=XY =YZ =ZO What are the rational numbers represented by the points R, S, T, U, V, W, X, Y, and Z​

Answer 1

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Answer 2

Answer:

The value of the points between O and P are the numbers

$R=2/3, S=4/3, T=2, U=8/3, V=10/3$.

And the value of the points between Q and O are the numbers

$W=-12/5, X=-9/5, Y=-6/5, Z=-3/5$.

Step-by-step explanation:

Given the values of O$=0$ ,P$=4$ and $=-3$.

therefore the length of the line segment  $OP=4cm$ and we add five point in between O and P, hence each sub segment is of length $4/6cm$. So add $4/6$ to each point we obtained.

That is

$R=0+4/6=2/3cm\\S=2/3+2/3=4/3cm\\T=4/3+2/3=6/3=2cm\\U=2+2/3=8/3cm\\V=8/3+2/3=10/3cm\\P=10/3+2/3=12/3=4cm$

similarly add four points between W and O ,we get

$5$ line segments each of length $3/5cm$.

That is,

$Q=-3, \\W=-3+3/5=-12/5\\X=-12/5+3/5=-9/5\\Y=-9/5+3/5=-6/5\\Z=-6/5+3/5=-3/5\\O=-3/5+3/5=0$

Hence the answer.

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