Answer:
every term has an even factor
Step-by-step explanation:
One of the two factors of the n-th term will be even.
- for n odd, n+1 is even
- for n even, n+2 is even
If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.
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.
-6x^2+4x
my reasoning:
eliminate the opposites (5 & -5)
collect the like terms (-8x^2 & + 2x^2)
collect the like terms again (-3x &+7x)
Answer:
The equation to determine the total length in kilometers is 
The total length in kilometers of Josh’s hike is 38 km.
Step-by-step explanation:
Given:
Let the total length in kilometers of Josh’s hike be h.
Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.
It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.
Framing the above sentence in equation form we get;

Hence, The equation to determine the total length in kilometers is 
Now Solving the above equation we get;
First we will multiply 2 on both side using Multiplication property we get;

Hence, The total length in kilometers of Josh’s hike is 38 km.