use photomath for that that's way easier
2n(n + 3) - 5(n + 3) = (2n-5)(n+3)
A. (n + 3) (2n - 5)
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
Answer:
Slope: 1/5
Step-by-step explanation:
To find the slope of a line when given two points, you find the change in y over the change in x.
1 - (-1) = 2 (change in y)
4 - (-6) = 10 (change in x)
2/10 simplified is 1/5.
Hope this helps :)
I think the relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional because :
Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.
