In the figure below, find the exact value of y.

9514 1404 393

  2

Step-by-step explanation:

y is the geometric mean of the segment lengths.

  y = √(4·1)

  y = 2

You can also get there by considering the similarity of the triangles:

  short side / long side = y/4 = 1/y

  y^2 = 4 . . . . . . . multiply by 4y\

  y = √4 = 2 . . . . take the square root

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

the circle one