POINTS M,N, AND O ARE 3 POINTS ON A LINE WITH COORDINATE 5, 2 SQUARE ROOT OF 5 AND 3 SQUARE ROOT OF 2 RESPECTIVELY, WHICH POINT IS BETWEEN THE OTHER TWO ?
O = 3*sqrt(2) = 4.24.
N = 2*sqrt(5) = 4.47.
M = 5.
N is between O and M.
To determine which point is between the other two, we need to consider their positions on the line.
Given the coordinates of the points:
M: (5, 2√5)
N: (5, √5)
O: (5, 3√2)
Since the x-coordinate (5) is the same for all points, we can focus on the y-coordinate to determine their positions.
Comparing the y-coordinates:
2√5 < √5 < 3√2
From the comparison, we can see that √5 is between 2√5 and 3√2.
Therefore, point N is between points M and O.
To determine which point is between the other two (M, N, and O), we need to compare their coordinates.
The given coordinates are:
M: 5
N: 2√5
O: 3√2
To compare these values, we can use the number line.
First, let's compare the coordinates of M and N. Since M = 5 and N = 2√5, we can see that 5 is greater than 2√5. So, M is to the right of N on the number line.
Next, let's compare the coordinates of N and O. Since N = 2√5 and O = 3√2, we can see that 2√5 is greater than 3√2. So, N is to the right of O on the number line.
Based on these comparisons, we can conclude that:
- N is between M and O as it is to the left of M and to the right of O on the number line.
Therefore, point N is the point that is between the other two points M and O.