what point are proportional to (10,16)
(1.6,0)
(6,0)
(12,7.5)
(2.5,4)
To find the points that are proportional to (10,16), (1.6,0), (6,0), (12,7.5), and (2.5,4), we need to look for points that have the same ratio of coordinates as the given points.
For example, if the ratio of the x-coordinate to the y-coordinate in the given points is 10:16, then we need to find points where the ratio of the x-coordinate to the y-coordinate is also 10:16.
Let's find the corresponding points:
For (1.6,0):
The ratio of the x-coordinate to the y-coordinate is 1.6:0, which means the y-coordinate is 0. Since any point with a y-coordinate of 0 would have an undefined ratio, there are no points proportional to (1.6,0).
For (6,0):
Similarly, the ratio of the x-coordinate to the y-coordinate is 6:0, which means the y-coordinate is 0. Again, any point with a y-coordinate of 0 would have an undefined ratio, so there are no points proportional to (6,0) either.
For (12,7.5):
The ratio of the x-coordinate to the y-coordinate is 12:7.5, so any point with a ratio of 12:7.5 would be proportional. For example, points like (24,15), (48,30), or (120,75) would all have the same ratio.
For (2.5,4):
The ratio of the x-coordinate to the y-coordinate is 2.5:4, so any point with a ratio of 2.5:4 would be proportional. For example, points like (5,8), (10,16), or (25,40) would all have the same ratio.
Therefore, the points proportional to (10,16), (1.6,0), (6,0), (12,7.5), and (2.5,4) are:
(12,7.5) and (2.5,4).