|x−4| if x>4 pls help

Explanation

The piece-wise definition for y = |x| is shown below

Replace every x with x-4 and we get

then isolate x in each inequality mentioned getting this

Note the top line that says if x is 4 or larger, then |x-4| = x-4. We can say the same thing if x > 4 where we don't include 4 itself.

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The short version is basically you drop the absolute value bars to go from |x-4| to x-4. This is because |x-4| is made of two equations and the x value determines which equation to use. If x is smaller than 4, then you go with y = -(x-4) = -x+4. If x is 4 or larger, then you use y = x-4.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.