# 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
The text passage contains a mathematical question about finding the value of a constant \( k \) in a quadratic equation, given the area of a rectangle and the coordinates of points on the graph. The passage also provides a detailed solution to the problem.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 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
user
The text passage contains a mathematical question about finding the value of a constant \( k \) in a quadratic equation, given the area of a rectangle and the coordinates of points on the graph. The passage also provides a detailed solution to the problem.

TYPE: SINGLE_QUESTION_WITH_ANSWER