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Find point C so that it is 3/4 of the distance from A to B

Coordinates Of A and B

A : (0,3)

B : (5,1)

Find point C so that it is 3/4 of the distance from A to B Coordinates Of A and B-example-1
User Jorick Spitzen
by
2.9k points

2 Answers

10 votes
10 votes

Answer: The coordinates of C is (3.75,1.5)

Explanation: 15/7

User Cnnr
by
2.7k points
9 votes
9 votes

Answer:

point C = (3.75, 1.5)

Explanation:

As the direction of the distance is from A to B, we need to down the y-axis and along (to the right) the x-axis.

Find the distance between the x-coordinates of both points by subtracting the x-coordinate of A from the x-coordinate of B:

5 - 0 = 5

3/4 of the length of this distance = 0.75 x 5 = 3.75

So the x-coordinate of C will be the sum of the distance (3.75) and the x-coordinate of A (as we are "travelling" from A to B):

3.75 + 0 = 3.75

Find the distance between the y-coordinates of both points by subtracting the y-coordinate of B from the y-coordinate of A:

3 - 1 = 2

3/4 of the length of this distance = 0.75 x 2 = 1.5

So the y-coordinate of C will be the y-coordinate of A minus the distance (1.5):

3 - 1.5 = 1.5

Therefore, point C = (3.75, 1.5)

User Alscu
by
3.4k points