Part (a)
<h3>Answer: 0</h3>
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Explanation:
Point P is part of 3 planes or faces of this triangular prism:
- plane PEF (the front slanted plane)
- plane PEH (the left triangular face)
- plane PHG (the back rectangular wall)
Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.
Each of the three planes mentioned do not involve line FG
- Plane PEF only deals with point F
- Plane PEH doesn't have any of F or G involved
- plane PHG only involves G
So there are no planes that contain line FG and point P.
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Part (b)
<h3>Answer: 0</h3>
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Explanation:
It's the same idea as part (a) earlier. The planes involving point G are
- plane GQF (triangular face on the right)
- plane GFE (bottom rectangular floor)
- plane GHP (back rectangular wall)
None of these planes have line EP going through them.
As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are
- plane PEH (triangular face on the left)
- plane PEF (front slanted rectangular face)
None of these planes have point G located in them.
Answer:
<em>Gerry arrived at the bus station at 12:30 P.M.</em>
Step-by-step explanation:
From noon and 5:00 P.M. there are 5 hours.
Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.
4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.
If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:
Gerry arrived at the bus station at 12:30 P.M.
Dale arrived at the bus station at 4:30 P.M.
Pat arrived at the bus station at 5:00 P.M.
Answer: 245-83+103= 265 so it would be negtive 265
Step-by-step explanation:
Answer: The zeros of the given equation are 2, -2 and -0.667. The y-intercept of the graph is f(0) = -8.
Explanation:
The given expression is,
To find zeros put f(x)=0
This equation is satisfied by x=2, so (x-2) is the factor of the given equation. By synthetic division or long division we can find the remaining factor.
Use Factoring method.
Equate each factor equal to zero by using zero product property.
So the zeros of the given equation are 2, -2 and -0.667.
To find the y-intercept of the graph, put x=0.
So the y-intercept of the graph is f(0) = -8.
Since the higher degree is 3 , which is odd and the coefficient of higher degree is positive, therefore the ead behavior is defined as,
It means as x decreases unboundedly then the function decreases unboundedly. similarly x increases unboundedly then the function increases unboundedly.
