Find the unknown side length, x. write your answer in the simplest radical form.

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

In a right triangle the Pythagoras theorem formula is equal to

where

c is the hypotenuse

a,b are the legs of triangle

step 1

In the right triangle ABC find BC

substitute the values

step 2

In the right triangle CBF find CF

substitute the values

step 3

In the right triangle DEF find EF

substitute the values

step 6

Find the measure CE

substitute

step 7

In the right triangle CDE find the value of x

substitute the values

step-by-step explanation:

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y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4