Find the minimum of f(x) = x − 3 x + 5 on the horizontal span of 0 to 5
1 answer:
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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).
Given:
The line segment is passing through the points (-9,-3) and (8,5),
Divide the segment in the ratio of 1:4.
Use the formula,
It gives,
Answer:
