Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Answer:
w^2 + 5w = 300
Step-by-step explanation:
A= length x width
A =300
Width = w
length = w + 5
Therefore
300 = (w) x (w + 5)
300 = w^2 + 5w
w^2 + 5w = 300
1) m=2
B=8
Y=2x+8
2) the slop is 2
3)the slope is 0
4)the slop is -4/3
There are two ways you can do this. You can use the longer way:
15+16+17+18+19+20+21+22+23+24 = 195 (starting from the top row, which has 15 logs, up until the bottom row, which has 24 logs, on condition that each second row has one log more than the previous one)
You can also use the formula (where n is the number of rows)
x= (n(first term+last term))/2
x= (10(15+24))/2
x= (10*39)/2
x=390/2
x=195
Either way, there are 195 logs in the stack.