The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo
uld it be possible for the cross section be a non-rectangular parallelogram?
2 answers:
This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
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<u>Answer:</u>
y = 5x (x+2)
<u>Step-by-step explanation:</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given expression so taking the common factors out of it to get:
Therefore, the factored form of the given quadratic function is y = 5x (x+2).
First move all terms to one side:
Then all terms on the left side share a common factor of :
The zero product product property says that if , then
or
. So either
or
.