Question

Using the image below, find the point that divides the line segment CD into a ratio of 4:1.

a. (5.8, 2)
b. (6, 6.2)
c. (6.5, 2.8)
d. (7, 3.2)

please help! I need to finish my quiz!<3

Answer 1

welcome to os

Answer 2

thanks:) can you help with this though? do you know the answer?

Answer 3

uhh does anyone know?

Answer 4

well the formula is

\[x = \frac{mx_{2} + nx_{1}}{m + n} ... y = \frac{m y_{2}+ny_{1}}{m + n}\]

so a point P is on the line so that

\[\frac{CP}{PD} = \frac{4}{1}\]

then CP = 4PD

so you are looking at the points 1(9, 6) and 4(5, 1)

m = 4 and n = 1 then (5, 1) is the 2 point (9, 6) is the 1 point

substitute to find the ordered pair P

Answer 5

Is is a or c??

Answer 6

do the calculation and you'll find the answer...