Answer:
c
Step-by-step explanation:
The gradient for a parallel line is the same.
perpendicular lines are negative reciprocals.
so all you have to do is re arrange it so y=Mx+b so the check out the gradients to what I listed above... remember y shouldn't have any number on it.
This is the concept of algebra, to solve the inequality we proceed as follows;
|8m+4|<12
given that the absolute value is represented by positive and negative values, we shall have:
-(8m+4)<12
-8m-4<12
-8m<12+4
-8m<16
thus;
m>16/(-8)
m>-2
also:
8m+4<12
8m<12-4
8m<8
m<8/8
m<1
hence the answer is -2<m<1
one bag contains x pencils
5 bags contain 5x pencils
after adding 3 pencils to each bag
total no of pencils = 5(x+3)
According to question,
5(x+3)=45
x+3=45/5
x+3=9
x=6
one bag contained 6 pencils before adding