The equation 
is
Some observations:
is defined only as long as 
, or 
- wherever is defined, its value must be non-negative, so that
is never positive - by the definition of absolute value, we have
if 
, and 
if 
. Then
If , the equation becomes
Taking the square of both sides gives
but since the discriminant is 
, there are no real solutions.
If , then
Taking squares gives
and solving by the quadratic formula gives two potential solutions,
which have approximate values of 8.49 and 26.51.
We know for any value of 
that 
. We have 
and 
, so only the first solution 8.49 is valid.
Answer:
There are two numbers 10 units from zero on the number line. These are 10 and -10.
Step-by-step explanation:
On a number line, if you move a pointer ten units right and left you will land on 10 and -10.
Answer:
k = 7
Step-by-step explanation:
Vertical shift down by 7units, f(x) - 7
g(x) = (0.5)x - 7
g(x) = (0.5)x - k
Comparing both equations, k = 7
Answer:
um 2x dos
Step-by-step explanation:
