ANSWER
y = 3.2
EXPLANATION
Given:
A circle with two intersecting chords.
Desired Outcome:
The value of y
Applying the Intersecting Chords Theorem
[tex]\begin{gathered} AO\times OB=OC\times OD \\ \end{gathered}[/tex]
Note: AB is the diameter of the circle
Therefore,
CO = OD = y
That is:
[tex]\begin{gathered} 2\times5=y\times y \\ y^2=10 \\ y=\sqrt{10} \\ y=3.1622 \end{gathered}[/tex]
Hence, y is 3.2 (rounded to the nearest tenth).
