Question

If ray AB is tangent to circle P at B, fins x and y.

Answer 1

Consider the illustration of intersecting secant theorem below

Applying the theorem to the problem before us, we have

`\begin{gathered} x^2=2\text{ x \lparen y+2\rparen and } \\ x^2=3\text{ x \lparen3+4\rparen} \\ \\ Thus \\ x^2=3\text{ x 7 =21} \\ x=√(21) \\ \\ x^2=2(y+2) \\ 21=2y+4 \\ 2y+4=21 \\ 2y=21-4 \\ 2y=17 \\ y=(17)/(2) \\ \end{gathered}`

In summary,

21 goes into the first box.

17/2 goes into the second box