SOLUTION: the segment A(-1,4) to B(2,-2) is extended three times its own length. the terminal point is.

Question 771201: the segment A(-1,4) to B(2,-2) is extended three times its own length. the terminal point is.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The segment A(-1,4) to B(2,-2) is extended three times its own length. the terminal point is.
***
Extending the segment 3 times its own length means you have a segment divided into 4 equal parts.
Likewise, this means the x-leg and y-leg of the right triangle of which the hypotenuse is the extended segment are also divided into 4 equal parts.
..
length of one x-part=3(-1 to 2)
length of one y-part=6(4 to -2)
..
coordinates of the terminal point:
x= (-1+4*3)=-1+12=11
y=(4+4*6)=4+24=28
(x,y)=(11/28)

RELATED QUESTIONS
the segment A(-1,4) to B(2,-2) is extended three times its own length. the terminal... (answered by advanced_Learner,AnlytcPhil)

The segment from (-1,4) to (2,-2) is extended three times its own length. What is the... (answered by Edwin McCravy)

The segment from (-1,4) to (2,-2) is extended three times its own length. What is the... (answered by Fombitz)

the segment joining (4 0) and (3 -2) is extended each way a distance equal to three times (answered by josgarithmetic)

The segment joining (-3,-2) and (-1/2,3) is extended a distance equal to 4/5 of its own... (answered by Cromlix)

The segment from(4,0) to (3,2) is extended three times its own length. Find the terminal... (answered by Alan3354)

The segment joining (-2,-3), (6,1) is extended each way a distance equal to one-fourth... (answered by mananth,math_tutor2020)

The segment joining (1, -3) and (4, -6 ) is extended a distance equal to one sixth of its (answered by greenestamps)

Topic: Division of line segment Question: how do I suppose to know the value of k in the (answered by Fillelele)