Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,




Taking square root on both sides.


Therefore, the distance between S and S' is 13 units.
The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.
Whole number can be a integer. rational number can not be a integer that is repeating.
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)