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Question 3 (Multiple Choice Worth 4 points)
[6.03] If you wanted to eliminate the y variable by adding the two equations in the following system, what could be your first step?
2x − 4y = 6
3x − y = 12
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∙ 10y ago
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A plane and a line intersect at most in one point?
Yes, except when the line is in the plane. In the latter case, they intersect at each point on the line (an infinite number).
The intersection of a plane and a line is?
If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.
A is a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it?
I believe the answer is "perpendicular line". Forgive me if I'm wrong :)
Are a line and a plane considered parallel if they have no points in common?
Yes, that's pretty much the definition of parallel.
What does Graph on a coordinate plane mean?
Graphing a line on the coordinate plane is the two-dimensional equivalent to marking a point on a number line. It just means to graph your line with respect to the x and y axes.
What is difference between midpoint theorem and definition of midpoint?
Definition of midpoint: a point, line, or plane that bisects a line so that AB=BC Midpoint theorem: a point, or plane that bisects a line so that line AB is congruent to line BC. A-----------------------------------------------B----------------------------------------------------C The definition of midpoint refers to equality, while midpoint theorem refers to congruency.
How many lines can contain a line and a point not on the line?
In plane geometry a line is a two dimentional object between two points. If a line or a point is not on the line it, by definition, does not contain them. The answer therefor is infinite. Unless it is a closed line which has a slightly different definition but the answer is the same.
What is the definition for datum dimension?
A dimension that exactly locates a reference point, reference line, or reference plane
Point is to line as line is to?
Plane. A point has no dimension, a line has one dimension, and a plane has two dimensions.
What are the 3 undefined terms in geometry?
point, line and plane
What is the intersection of a plane and a line not on the plane?
point * * * * * or, nothing (if the line is parallel to the plane).
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
If point is to line line is to what?
plane
where does a plane intersect in geometry?
A plane intersects a line at a point, and i plane intersects another plane at a line.
When does a plane and line intersect at one point?
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
What do you find at the intersection of a plane an a line?
Unless the line is a subset of the plane, the intersection is a point.
What are the 3 unedifying terms in geometry geometry?
Point ; Line ; Plane - Remember the Point-Line-Plane Postulate
