Alex is tracking temperatures. Today the temperature was 0° Celsius, which is represented by the point (0, 0) . If the temperature yesterday was right in between today’s temperature and the temperature two days ago, what was the temperature yesterday?
Apologies for any confusion. Given the information provided, we know that today's temperature is 0°C (represented by the point (0, 0)), and the temperature yesterday was right in between today's temperature and the temperature two days ago.
Since today's temperature is 0°C (0, 0), the temperature two days ago must have been below 0°C for the temperature yesterday to be in between. Let's assume the temperature two days ago was -2°C (represented by the point (-2, -2)).
To find the temperature yesterday, we can calculate the average of the temperatures of today and two days ago.
Average temperature = (temperature today + temperature two days ago) / 2
Average temperature = (0°C + -2°C) / 2
Average temperature = -1°C
Therefore, if the temperature two days ago was -2°C, the temperature yesterday would be -1°C.
To determine the temperature yesterday, we need to find the average of today's temperature (0°C) and the temperature two days ago.
If we represent the temperature two days ago as (x, y), where x represents the time elapsed and y represents the temperature, we can assume that x = -2 as it represents two days ago.
Since the temperature two days ago is right in between today's temperature (0°C) and the temperature two days ago (x, y), we can express it as the midpoint between these two points.
The midpoint formula is as follows:
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Substituting the known values:
midpoint = ((0 + -2) / 2, (0 + y) / 2)
midpoint = (-2/2, y/2)
Since the midpoint is (-1, y/2), we know that y/2 represents the temperature yesterday.
Since the temperature yesterday is y/2 and the temperature today is 0°C, we can set up the equation:
y/2 = 0
Multiplying both sides of the equation by 2, we get:
y = 0
Therefore, the temperature yesterday was 0°C.
thats wrong
Apologies for the mistake. Let's correct it.
Given that the temperature today is 0°C (represented by the point (0, 0)), and the temperature two days ago is represented by the point (x, y), where x = -2 (as it was two days ago), we need to find the temperature yesterday, which is in between these two temperatures.
To find the temperature yesterday, we can calculate the average of the x-coordinates (time) and the y-coordinates (temperature) of the two points.
The x-coordinate of today's temperature is 0, and the x-coordinate of the temperature two days ago is -2. Taking their average, we get (0 + -2) / 2 = -1 for the x-coordinate of yesterday's temperature.
Similarly, the y-coordinate of today's temperature is 0, and the y-coordinate of the temperature two days ago is y. Taking their average, we get (0 + y) / 2 = (y / 2) for the y-coordinate of yesterday's temperature.
So, the temperature yesterday is represented by the point (-1, y/2).
Since the point (-1, y/2) represents the temperature yesterday, we do not have enough information to determine the actual temperature without knowing the value of y.
Alex is tracking temperatures. Today the temperature was 0° Celsius, which is represented by the point (0, 0) . If the temperature yesterday was right in between today’s temperature and the temperature two days ago, what was the temperature yesterday?
To find the temperature yesterday, we need to find the midpoint between today's temperature (0°C) and the temperature two days ago.
The formula for finding the midpoint between two points (x1, y1) and (x2, y2) is:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, today's temperature is represented by the point (0, 0), and the temperature two days ago is represented by the point (x, y), where x = -2 (two days ago).
Substituting these values into the midpoint formula, we get:
Midpoint = ((0 + (-2)) / 2, (0 + y) / 2)
Midpoint = (-2/2, y/2)
Midpoint = (-1, y/2)
So, the temperature yesterday can be represented by the point (-1, y/2).
However, without specific information about the temperature two days ago (represented by (x, y)), we cannot determine the exact temperature yesterday.