Drawing a diagonal means to connect a vertex with another non-adjacent vertex.
So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.
We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).
So, an 8 sided shape has 20 diagonals.
The appropriate factoring of your expression is ...
A. -2x(x + 8)(x - 2)
_____
After factoring out -2x, you have -2x(x² +6x -16), so you're looking for factors of -16 that add to +6. Those factors are (8)×(-2). This lets you write the complete factorization as above.
Answer:
$106.00
Step-by-step explanation:
origional amount = x
x + 26 + x + 26 = 264
2x + 52 = 264
2x = 264 - 52
2x = 212
x = 212/2
= 106
Hope this helps you! Have an amazing day :)
Follow the order of operations.
First do what is inside the parenthesis
20 + 3(7+4) + 5 + 2(7+9)
20 + 3(11) + 5 + 2(16)
Next, do the multiplication
20 + 3(11) + 5 + 2(16)
20 + 33 + 5 + 32
Then add
20 + 33 + 5 + 32 = 90