Question

The coordinates of the endpoints of BC are B(6, 13) and C(11, -2). Point D is on BC and

vides it such that CD:BD is 1:4.
What is the sum of the coordinates of D?
Write your answer as an integer or decimal.

Answer 1

To find the coordinates of point D, divide the line segment BC into two parts, CD and BD, in a 1:4 ratio. The sum of the coordinates of D is 18.8.

Step-by-step explanation:

To find the coordinates of point D, we need to divide the line segment BC into two parts, CD and BD, such that the ratio of their lengths is 1:4.

The x-coordinate of D can be found by taking one-fifth of the x-coordinate difference between B and C and adding it to the x-coordinate of B. (1/5)(11 - 6) + 6 = 6.4

The y-coordinate of D can be found in the same way, by taking one-fifth of the y-coordinate difference between B and C and adding it to the y-coordinate of B. (1/5)(-2 - 13) + 13 = 12.4

The sum of the coordinates of D is 6.4 + 12.4 = 18.8

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