Step-by-step explanation:
the lowest common denominator (LCD) is the lowest common multiple (LCM) of the denominator numbers (the ones at the bottom of the fractions).
finding the LCM of 9 and 12 using the prime factor method :
9 = 3×3
12 = 2×2×3
the LCM is the combination of the longest chains per prime factor. which means we have 2×2 and 3×3 as longest chains for 2 and 3.
LCD = LCM = 2×2×3×3 = 36
2/9 turns into x/36 by multiplying by 4/4 :
2/9 × 4/4 = 8/36
5/12 turns into x/36 by multiplying by 3/3 :
5/12 × 3/3 = 15/36
so, the third answer option is correct.
The median drawn from a vertex of a triangle intersects the opposing side at the mid point.
The three medians of a triangle intersect in a point named centroid, but that is another story.
Negative
basically
negative means change sign
positive means do nothing
change sign times do nothing=change sign=negative
basically
(+)(+)=(+)
(-)(-)=(-)
(+)(-)=(-)
(-)(+)=(-)
and
(+)/(+)=(+)
(-)/(-)=(-)
(+)/(-)=(-)
(-)/(+)=(-)
answer is negative
Answer:
Step-by-step explanation:
Answer:


Domain: All real numbers
![Range = [-1,1]](https://tex.z-dn.net/?f=Range%20%3D%20%5B-1%2C1%5D)
Step-by-step explanation:
Given
The attached graph
Solving (a): f(0)
On the attached graph
when 
So:

Solving (b): f(pi)
On the attached graph
when 
So:

Solving (c): Domain
There is no restriction on x.
Hence, the domain is the set of all real numbers
Solving (d): Range
In the attached graph


So, the range is:
![Range = [-1,1]](https://tex.z-dn.net/?f=Range%20%3D%20%5B-1%2C1%5D)