Slope intercept form
2 answers:
You might be interested in
Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
On comparing both sides, we get
And,
Therefore, the coordinates of fourth vertex are (-5,-2).
Let 
be the amount of time it takes to perform an arm routine and 
be the amount of time it takes to perform an abdominal routine. We see:
Subtracting the second equation from the first gives
. Substituting gives 
, so 
and 
.
Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.
Subtracting the second equation from the first gives
Thus, an arm routine takes ten minutes and an abdominal routine takes thirty minutes.