Here's an example...
So, in our last example...
In the point ( -2, -1 ), x1 = -2 and y1 = -1 ... and, in the point ( 4, 3 ), x2 = 3 and y2 = 3
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 3 - ( -1 ) ) / ( 4 - ( -2 ) ) = 4 / 6 = 2 / 3
But, notice something cool...
The order of the points doesn't matter! Let's switch them and see what we get:
In the point ( 4, 3 ), x1 = 4 and y1 = 3 ... and, in the point ( -2, -1 ), x2 = -2 and y2 = -1
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -1 - 3 ) / ( -2 - 4 ) = -4 / -6 = 2 / 3 ... Same thing!
Let's try our new formula with the second example in the last lesson:
It was a line passing through
( -1, 4 ) and ( 2, -2 )
m = ( y2 - y1 ) / ( x2 - x1 ) = ( -2 - 4 ) / ( 2 - ( -1 ) ) = -6 / 3 = -2
Answer: what’s the problem
Step-by-step explanation:
Question
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
a) how many hens does she have ?
b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday
Answer:
a) 240 hens
b) 2160 eggs
Step-by-step explanation:
a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops
Hence,
1 coop = 12 hens
20 coops = y hens
Cross Multiply
y hens = 20 coops × 12 hens/1 coop
y hens = 240 hens
Therefore Farmer Jim has 240 hens
b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?
From question a) we determine that the number of hens that Farmer Jim has:
240 hens
Hence,
1 hen = 9 eggs
240 hens = z eggs
z eggs = 240 hens × 9 eggs/1 hen
z eggs = 2160 eggs
Therefore, on Monday Farmer Jim will collect 2160 eggs
Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of its sides.
The sides in the triangle shown have lengths 
, 
, and 
in no specific order.
Since its perimeter is given by the sum of its sides, the perimeter is equal to:
Combine like terms:
Answer:
Standard form: 1
Step-by-step explanation
expanded notation form: 1
expanded factors form: 1x1
expanded exponential for 1x 10^0
