Step 1: Understanding the problem:
We are given a line segment with endpoints \( (-2, 2) \) and \( (7, -4) \). The points divide the line segment into three equal parts. The first point divides the segment in the ratio \( 1 : 2 \), and the second point divides the segment in the ratio \( 2 : 1 \). We need to find the coordinates of these two points using the section formula.Step 2: Using the section formula for the first point:
The section formula gives the coordinates of a point dividing a line segment in a given ratio. The formula is:Step 3: Using the section formula for the second point:
For the second point, which divides the segment in the ratio \( 2 : 1 \), we have \( m = 2 \) and \( n = 1 \). Using the same endpoints \( (-2, 2) \) and \( (7, -4) \), we apply the section formula again:Step 4: Conclusion:
The coordinates of the trisection points are \( (1, 0) \) and \( (4, -2) \).What is the angle between the hour and minute hands at 4:30?
Proteins control the expression of various characters. Explain this statement by taking an example of "tallness" as a characteristic in plants