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

Which of the following was the first natural barrier to expansion of the frontier for American colonists?
What is 5/12 divided by 3/16 as a fraction?
What is the city-state of Athens sometimes called?
What is more permeable? Gravel, sand, or silt?
Conflict resolution skills include which of the following? A. disagreeing, arguing, talking, and making up B. defining the problem, proposing solutions, and lis
Write the equation in slope-intercept form. y=12+(x-1)(-4)
How many fewer minutes does it take to drive 35 miles at 30mi/h than to drive the same distance at 25 mi/h? The answer is 40minutes but i need to know how to
In the book number of stars how did Annemarie show kindness to her younger sister?
Round 19.3 to the nearest whole number
How many eighty fours are in 672