Problem

PAPER 2 - ANSWER ALL OUESTIONS IN THIS SECTION
1.a) If $\frac{d}{t-p}=\frac{t}{d+p}$
i) make " $p$ " the subject of the relation.
ii) find the value of " $p$ " if $t=13$ and $d=6$
) Find the truth set of
\[
3(x-1) \leq 1 / 2(x+1)-6
\]
2.a) Draw a multiplication cable for arithmetic modulo on the set $P=\{1,4,9,11\}$. Use your table to find truth set of

Answer

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Answer

Final Answer: The value of 'p' when 't' is 13 and 'd' is 6 is \(\boxed{7}\).

Steps

Step 1 :Given the equation \(\frac{d}{t-p}=\frac{t}{d+p}\), we are asked to make 'p' the subject of the relation.

Step 2 :By cross multiplying and simplifying, we get the equation in the form 'p = t - d'.

Step 3 :Now, we substitute the given values of 't' and 'd' into the equation to find the value of 'p'.

Step 4 :Substituting 't' = 13 and 'd' = 6, we get 'p' = 13 - 6.

Step 5 :Calculating the above expression, we find that 'p' = 7.

Step 6 :Final Answer: The value of 'p' when 't' is 13 and 'd' is 6 is \(\boxed{7}\).

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