Please help this is due in like ten minutes.

x =

Step-by-step explanation:

Using Pythagoras' identity in both tight triangles.

First in the small triangle to find the third side ( hypotenuse ) h

h² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

h =

Now use the identity in the larger right triangle

x² + h² = 4²

x² + ( )² = 16

x² + 2 = 16 ( subtract 2 from both sides )

x² = 14 ( take square root of both sides )

x =

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is