Question

Find the value for y. Geometry!! pls help!! thank youuuu

Answer 1

2

Explanation:

By the triangle proportionality theorem,

`(12)/(2y - 1) = (4y - 4)/(1) \\ \\ 12 = (2y - 1)(4y - 4) \\ \\ 12 = 8 {y}^(2) - 12y + 4 \\ \\ 8 {y}^(2) - 12y - 8 =0 \\ \\2 {y}^(2) - 3 y - 2 = 0 \\ \\ (2y + 1)(y - 2) = 0`

From this, we know that y = -1/2 or 2.

However, as distance must be positive, we disregard the negative case, giving us y = 2.