text: # Please help with this question the graph/pictute is attached. ABCD a is a rectangle and points A and B lie on the graph of y=kx^2 where k is a constant. If the area of ABCD is 20 what is the value of k?
  
  1
  by lizzy7631
  
  2014-10-26T15:07:33-04:00
  Start by figuring out the length and width of the rectangle
  2- -2= 4
  If the area is 20 then divide 20 by 4 to get the height
  20/4=5
  Because the width and height are now known, the coordinates of A and B can be determined.
  A=(-2,5)
  B=(2,5)
  Now plug in the coordinates and solve for k
  y=kx²
  5=k(-2²)
  5=k(4)
  5=4k
  5/4=4k/4
  k=1.25
explanation: The document contains a math question and a detailed answer to the question. The question asks for the value of the constant \( k \) given the area of a rectangle and the coordinates of points on a parabola. The answer provides a step-by-step solution to find \( k \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Please help with this question the graph/pictute is attached. ABCD a is a rectangle and points A and B lie on the graph of y=kx^2 where k is a constant. If the area of ABCD is 20 what is the value of k?
  
  1
  by lizzy7631
  
  2014-10-26T15:07:33-04:00
  Start by figuring out the length and width of the rectangle
  2- -2= 4
  If the area is 20 then divide 20 by 4 to get the height
  20/4=5
  Because the width and height are now known, the coordinates of A and B can be determined.
  A=(-2,5)
  B=(2,5)
  Now plug in the coordinates and solve for k
  y=kx²
  5=k(-2²)
  5=k(4)
  5=4k
  5/4=4k/4
  k=1.25
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed answer to the question. The question asks for the value of the constant \( k \) given the area of a rectangle and the coordinates of points on a parabola. The answer provides a step-by-step solution to find \( k \).
  
  Label: question-and-answer