michaelwarren3136 michaelwarren3136
  • 03-03-2018
  • Mathematics
contestada

Points r(-4,-1) and s(6,3) are the endpoints of a diagonal of a rhombus. find the equation of the line containing the other diagonal.

Respuesta :

Аноним Аноним
  • 03-03-2018
Note that he diagonals of a rhombus are perpendicular bisectors of each other.

slope = (3+1)/(6+4) = 4/10 = 2/5
the other diagonal slope = -5/2

midpoint of the diagonal is where the two diagonals meet. 
midpoint ((-4+6)/2, (-1+3)/2) = (1, 1)

equation of the other diagonal line:
y = mx + c
y = -5/2 x + c
at (1,1)
1 = -5/2(1) + c
c = 1 + 5/2 = 7/2

y = -5/2 x + 7/2
2y = -5x + 7


Answer Link

Otras preguntas

Solve the equation for x : 4x•2-12x=7
For 4th grade..create 2 division word problem solving
which is an example of sarcasm? A. Lisa searched frantically for her favorite running shoes and thought, "I feel like I've lost my best friends!" B. Bobby showe
PLEASE HELP!!!! I really need this.
When Abraham Lincoln said: "If there is anything that a man can do well, I say let him do it. Give him a chance." What is the meaning of this excerpt?
Sculptures that decorated buildings came in which two styles.
In the third paragraph of John F. Kennedy's Inaugural Address, Kennedy makes a comparison between the world during his time and the time the nation was founded.
Why do you need a reference point to know if an object is moving
Judith classified 4 1/5 as an integer.What is her error
the proper natation for a normal distribution with a mean of 250 and a standard deviation of 25 is?