c please (c)Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that di DE =d, DF . Without any furthercalculation, explain why this must be true. Violet chooses four points D, E, F, G in R³, and decides to tell Luna some of the coordinates. However, Violet decides to withhold two of the coordinatevalues, and labels them x and z instead. Violet shows Luna the following list:D= (3,1,0),E3 (2,5, г).F = (x, 6, –3),G = (4,0,1).Violet also says to Luna, "The points D, E, F, G are the vertices of a parallelogram, though I won't tell you the order of its vertex labelling."(a)Help Luna find x and z.NumberNumber(b)Find the distance di from the point F to the line through D and E and enter its exact value in the box below:di

Answered: Image /qna-images/answer/e3a29293-4e1c-42ce-ad48-4e8945faaebc.jpg

Answered: Luna calculates d, and also the…

Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that d DE = d2 DF. Without any further calculation, explain why this must be true.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 21PPS

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Question

c please

(c)
Luna calculates d, and also the distance d, from the point E to the line through D and F and notices that di DE =
d, DF . Without any further
calculation, explain why this must be true.

Violet chooses four points D, E, F, G in R³, and decides to tell Luna some of the coordinates. However, Violet decides to withhold two of the coordinate
values, and labels them x and z instead. Violet shows Luna the following list:
D= (3,1,0),
E3 (2,5, г).
F = (x, 6, –3),
G = (4,0,1).
Violet also says to Luna, "The points D, E, F, G are the vertices of a parallelogram, though I won't tell you the order of its vertex labelling."
(a)
Help Luna find x and z.
Number
Number
(b)
Find the distance di from the point F to the line through D and E and enter its exact value in the box below:
di

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