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anonymous
 one year ago
point x (6,4) and y (4,16) are the endpoint of XY. what are the coordinates of point Z on XY such that XZ is 4/5 the length of XY
a) (4,0)
b) (0,8)
c) (1,6)
d) (2,12)
anonymous
 one year ago
point x (6,4) and y (4,16) are the endpoint of XY. what are the coordinates of point Z on XY such that XZ is 4/5 the length of XY a) (4,0) b) (0,8) c) (1,6) d) (2,12)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0distance is \[d=\sqrt{(x _{2}x _{1})^{2}+(y _{2}y _{1})^2}\] d= sqrt (46)^2 + (164)^2 d= sqrt (10)^2 + (20)^2 d= sqrt 100+400 d=sqrt 500 d=22.36 The distance from point x to point y is about 22.36. 4/5 of this distance is 17.888 (.8 * 22.26) So the distance from X to Z has to be 17.888 17.888=sqrt (x26)^2 + (y24)^2 you can guestimate from here with the answer choices looking at the graph, you know Z will be closer to Y.dw:1442530338070:dw you can also guess that the coordinates of z will both be negative from the graph. so lets try the coordinate (2,12 from your options) 17.88=sqrt(26)^2 + (124)^2 17.88=sqrt (8)^2 + (16)^2 17.88= sqrt 64+256 17.88= sqrt320 17.88=17.88 this is a true statement. D is your answer
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