Question

BD and AC are chords that intersect at point Y.

Answer 1

Answer:

c 4

Step-by-step explanation:

test on edg

Answer 2

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that:  When two chords intersect each other inside a circle,the products of their segments are equal.

do

In this problem

$(BY)(YD)=(AY)(YC)$

substitute the given values

$(3)(8)=(x)(6)$

solve for x

$24=6x\\x=24/6\\x=4\ units$

therefore

The length of segment AY is 4 units