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Find the coordinates of the point 3/10 of the way from A to B.

A. (-2.3, 0.3)
B. (-2.9, 0.1)
C. (-2.8, 0.2)
D. (-2.6, 0.4)

1 Answer

6 votes

Final answer:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the formula for finding the coordinates of a point on a line segment.

Step-by-step explanation:

To find the coordinates of a point that is 3/10 of the way from point A to point B, we can use the formula for finding the coordinates of a point on a line segment.

Let's label the x-coordinate of the point we're trying to find as xP and the y-coordinate as yP. We can find these coordinates using the following formulas:

xP = (3/10)(xB - xA) + xA

yP = (3/10)(yB - yA) + yA

Using the given coordinates of point A (-2.3, 0.3) and point B (-2.9, 0.1), we can substitute these values into the formulas to find the coordinates of the point 3/10 of the way from A to B.

xP = (3/10)(-2.9 - (-2.3)) + (-2.3) = -2.58

yP = (3/10)(0.1 - 0.3) + 0.3 = 0.24

Therefore, the coordinates of the point 3/10 of the way from A to B are (-2.58, 0.24).

User Nikhil V M
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