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Find the coordinates of the point three tenths of the way from A to B. A= (-4,-8) b= (9,4)

Question

Find the coordinates of the point three tenths of the way from A to B.

Given points:

  • A = (-4, -8)
  • B = (9, 4)
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Solution

To find the coordinates of the point that is three tenths of the way from point A to point B, you can use the formula for finding a point on a line segment between two points:

P = A + t(B - A)

where:

  • P is the point you're trying to find,
  • A and B are the given points,
  • t is the fraction of the distance from A to B (in this case, t = 0.3).

First, calculate the difference between the coordinates of points B and A:

B - A = (9 - (-4), 4 - (-8)) = (13, 12)

Then, multiply these differences by t:

t(B - A) = 0.3 * (13, 12) = (3.9, 3.6)

Finally, add these results to the coordinates of point A:

P = A + t(B - A) = (-4 + 3.9, -8 + 3.6) = (-0.1, -4.4)

So, the coordinates of the point three tenths of the way from A to B are (-0.1, -4.4).

This problem has been solved

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