Answer: OPTION C
Step-by-step explanation:
Complete the square:
Having the equation in the form 
, you need to add 
to both sides of the equation:
You can identify that "b" in the equation 
is:
Then:
Add this to both sides:
Rewriting, you get:
Solve for "x":
Then, the solutions are:
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:
Line f has the same slope, -4/3
Step-by-step explanation:
First find the the slope of line e
m = (y2-y1)/(x2-x1)
= (2-6)/(10-7)
= -4/3
Since the lines are parallel, they have the same slope
Line f has the same slope, -4/3
Answer:
1000000
Step-by-step explanation:
Add 10 with 6 0's
Answer:
19
Step-by-step explanation:
(8*19+5*18)/(8+5)=242/13=18 8/13
round
19
