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dani9427
22.03.2021 •
Mathematics
The ratio R S R T = 1 2 . Point R is at (2, 5) and point T is at (–4, –7). Which could be the coordinates of S? A. (–1, –1)
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Ответ:
The coordinates of the point S could be;
A. (-1, -1)
Step-by-step explanation:
The given parameters are;
The ratio of the length of the line RS to the length of the line RT = 1:2
The coordinates of point R = (2. 5)
The coordinates point T = (-4, -7)
Therefore, we have;
The length of the line RT = √(((2 - (-4))² + (5 - (-7))²) = 6·√5
Therefore, we have;
When the coordinates of the point S = (-1, -1), we have;
The length of the line RS = √(((2 - (-1))² + (5 - (-1))²) = √45 = 3·√5
Therefore, the coordinates of the point S could be (-1, -1)
Ответ:
option C is the correct answer.