0
What are the possible values of k when the line y equals 2x plus k meets the curve of y equals x square -8x -7 at two distinct real points and at one point only showing work?
Wiki User
∙ 10y ago
The point(s) of intersection must satisfy both equations.
So
2x + k = x2 - 8x - 7
Or, x2 - 10x - 7 - k = 0
The discriminant for this quadratic equation is (-10)2 - 4*1*(-7-k)
= 100 + 28 + 4k
= 128 + 4k
For there to be 2 real distinct points of intersection, discriminant > 0
that is 128 + 4k > 0
4k > -128 so that k > -32.
For there to be a single point of intersection, discriminant = 0 so that k = -32.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
Is it possible for three points to lie in two distinct planes?
Yes, of course it is.
Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
Can two distinct points define a single line?
All lines are defined by two or more distinct points.
What is a distinct line segment?
It will have end points to be a distinct line segment
How many planes can be made to pass through 3 distinct points?
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
What is the maximum number of points of intersection when three distinct circles and four distinct lines?
discuss the possible number of points of interscetion of two distinct circle
Is it possible for three points to lie in two distinct planes?
Yes, of course it is.
For any two distinct points A and B AB equals BA is this true?
Yes this true at one point in time
Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
Can two distinct points define a single line?
All lines are defined by two or more distinct points.
What is a distinct line segment?
It will have end points to be a distinct line segment
Do 3 distinct points always lie on the same line?
Yes. Every line has an infinite number of distinct points.
Can two distinct points both exist on two distinct line?
No. Two points determine one line, and only one.
How many planes can be made to pass through 3 distinct points?
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
How many points determine exactly one line?
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
When you Visualize 2 distinct points on a line. The points divide the line into separate regions. How many distinct regions is the line divided into?
It is divided into three regions.
What is a graph of distinct points called?
A scatter graph.
