Given Question
The problem can be translated to: IxI = -x.
Procedure
These lead to a system of linear equations
x = -x for x>0….Equation 1
or
x = -(-x) for x<0….Equation 2
From Equation 1 x = 0 which is not accepted since it is given x is a non-zero real number.
From the Equation 2 x = x
Which is valid for all real numbers such that x<0
Conclusion
Therefore we conclude here that x should be a negative real number to have its absolute value equals to its opposite.
Answer:

Step-by-step explanation:







- Hence, Anna will cover 245 km in 3 hours 30 mins.
Answer/Step-by-step explanation:
A. Distance travelled at constant rate = 180 miles
Rate of travel (r) = distance travelled (d) /time (t)
Travel time (hrs) ==> rate of travel (miles/hr)
5 ==> 180/5 = 36
4.5 ==> 180/4.5 = 40
3 ==> 180/3 = 60
2.25 ==> 180/2.25 = 80
B. t = time travelled in hrs,
r = rate (miles/hr)
d = distance travelled = 180
Therefore, rate travelled for t hours would be:

Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
The sum of their ages equals 80.
Gabrielle is 3 times older than Mikhail
Two numbers that have a sum of 80, with one number being 3 times the other are:
Gabrielle’s age: 60
Mikhail’s age: 20
60 + 20 = 80
20 x 3 = 60
Mikhail is 20 years old.