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QUESTION IMAGE

find the coordinate of point e that is $\frac{5}{4}$ of the distance fr…

Question

find the coordinate of point e that is $\frac{5}{4}$ of the distance from p to r.
p q r
s t u
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
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Explanation:

Step1: Identify coordinates of P and R

The coordinate of P is - 5 and the coordinate of R is - 1.

Step2: Calculate the distance between P and R

The distance $d=| - 1-(-5)|=| - 1 + 5|=4$.

Step3: Find the distance from P to E

The distance from P to E is $\frac{5}{4}$ of the distance from P to R. So the distance from P to E is $\frac{5}{4}\times4 = 5$.

Step4: Calculate the coordinate of E

Let the coordinate of E be $x$. Then $x-(-5)=5$, so $x=0$.

Answer:

0