Answer: The distace between midpoints of AP and QB is .
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ =
QB =
Substituing:
AP + 2*() = a
2AP = a
AP =
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB =
QB =
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d =
d =
The line of the best fit is shown in the picture which is approximate near the dots.
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The slope and y-intercept can be found using the formula below:
We have a given a scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.
We can draw a line of best fit y = mx + c
Thus, the line of the best fit is shown in the picture which is approximate near the dots.
Learn more about the line of best fit here:
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