Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is

Since there are n logs in the pile, so we get

Thus, the total number of logs in the pile is 6.
The coordinates of Q are (-1,6)
Further Explanation:
Given points are:

The formula for mid-pint is:

The coordinates of Q are (-1,6)
Keywords: Coordinate geometry, mid-point
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Answer:
x = 10/3
Step-by-step explanation:
1.Arrange both equations so that the constant is isolated
3x - 2y = 14
6x + y = 18
2. Multiply both sides of first equation by a value that will cancel out a variable when added to the second equation
(-2) 3x - 2y = 14 (-2)
-6x + 4y = -28
3. Add both equations together
-6x + 4y = -28
<u>+ 6x + y = 18</u>
0x + 5y = -10
4. Simplify
5y = -10
y = -2
5. Substitute y-value into one of the original equations to solve for x
3x = 2y + 14
3x = 2(-2) + 14
3x = -4 + 14
3x = 10
x = 10/3