Question

Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?

Answer 1

The coordinates of point E are (7, 9).

Step-by-step explanation:

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively

Therefore,

To find the coordinates of point E, we can use the concept of section formula.

Let the coordinates of point E be (x, y). Using the section formula, we have:

x = (5 * 5 + 3 * 11) / (3 + 5) = 7

y = (-6 * 5 + 5 * 18) / (3 + 5) = 9

Therefore, the coordinates of point E are (7, 9).

Answer 2

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

`(x,y)=((m_1x_2+m_2x_1)/(m_1+m_2),(m_1y_2+m_2y_1)/(m_1+m_2))\\\\(x,y)=((3(11)+5(5))/(3+5),(3(18)+5(-6))/(3+5))\\\\=(29)/(4),3`

So, the coordinates of E are (29/4,3).