Points D, E, and F are collinear and DE:DF= 2/5. Point E is locate at (-3,2), point F is located at (-3,-4). What is the coordin
1 answer:
DE : DF = 2 : 5
So, DE = 2 parts and DF = 5 parts
EF = DF - DE
= 5 - 2
= 3 parts
DE : EF = 2 : 3
Let D be (x, y).
Then, the point E divides the line segment DF internally in the ratio 2 : 3.
So, E is
But, it is given that E is (-3, 2).
Therefore,
3x - 6 = -15 and 3y - 8 = 10
3x = -9 and 3y = 18
x = -3 and y = 6
Hence, D is (-3, 6)
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Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)
From starting point to water station:
(Eq. 2)
The distance between the water station and the ending point is:
(Eq. 3)
Hence, Aidan is 2 miles far from the ending point when he reaches the water station.