Question

The coordinates of the endpoints of BC are B(6,13) and C(11, – 2). Point D is on BC and divides it such that CD:BD is 1:4.
The coordinates of the endpoints of
BC
are B(6,13) and C(11,
–
2). Point D is on
BC
and divides 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

9514 1404 393

Answer:

  11

Step-by-step explanation:

Point D can be found to be ...

  D = (4C +B)/5 = (4(11, -2) +(6, 13))/5 = (50, 5)/5 = (10, 1)

The sum of the coordinates of D is ...

  10 +1 = 11