No, (9.5, 144) does not make sense because there is no point of 9.5 and when you divide the ounces of water by the flavoring packets you end up with 12, and if you were to simplify that it would end up with 1 flavor packet and 12 ounces of water.
Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
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Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
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Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L


Answer:
Yes, (-3, -9) is a solution.
Step-by-step explanation:
y = 3x (-3,-9)
-9 = 3(-3)
-9 = -9