Using the diagram, what is the intersection of plane ABCD and ? A. Line B. Point C C. Plane EFGH D. Point D
1 answer:
I have attached screenshots for the complete question as well as the diagram associated with it.
Answer:
point C
Explanation:
A plane and a line can either:
1- have no intersection
2- intersect in a point
3- intersect in a line in case the whole line is found in this plane
For the given:
We can see that line CG does not belong to the plane ABCD, however, they both intersect.
This means that the intersection between them is a point.
We can note that the only point common between the line and the plane is point C.
Therefore, plane ABCD intersects line GC at point C
Hope this helps :)
Answer:
point C
Explanation:
A plane and a line can either:
1- have no intersection
2- intersect in a point
3- intersect in a line in case the whole line is found in this plane
For the given:
We can see that line CG does not belong to the plane ABCD, however, they both intersect.
This means that the intersection between them is a point.
We can note that the only point common between the line and the plane is point C.
Therefore, plane ABCD intersects line GC at point C
Hope this helps :)
You might be interested in
If a quadratic equation has solutions, the standard procedure will always work: given an equation like
The solutions (if any) are given by
In your case, you have
So the formula becomes
Anyway, this is quite a special case, because you're missing the linear term (since )
This means that you can solve equations like these more easily: rearrange the equation to make it look like . In your case, it becomes
Divide both sides by 9:
Now, you know that the square of a number equals 1/9. By definition, it means that this number is the square root of 1/9. Nevertheless, both the square root and its opposite are solutions of the equation, because the minus sign will cancel out when squaring.
So, in general, you have
which of course makes sense, if you're using real numbers, only if c/a>0.
In your case, this becomes