Answer:
x>8 and x<6
Step-by-step explanation:
well first the values of x-7 have to be greater than 1 or, less than -1
because if x-7=-2 then |-2|=2>1 satisfying the equation
so we have

and we have

to graph it it goes from (-∞,6)∪(8,∞)
We are given :

Step 1: factor the part inside square root
The function given inside square root is of quadratic form.
So let us try to factorise it using AC method.
Here A*C = 4*25 = 100
so we have to find factors of 100 that add up to give -20.
the two factors are -10 and -10.
Rewriting the function :

=
=
=
Step 2:
Now we take square root of the factorised form

= 
Answer : (2x-5)
Answer:
It diverges.
Step-by-step explanation:
We are given the inetegral: 

So it is divergent.
Answer:
90 inches
Step-by-step explanation:
The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...
(3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches