Answer:
40,320
Step-by-step explanation:
The first object in the arrangement can be chosen 8 ways. The second, 7 ways (after the first one is chosen). And so on down to the last object, which will be the only remaining one. Altogether, the number of ways you can arrange the objects is ...
8·7·6·5·4·3·2·1 = 8! = 40,320
Answer:
Step-by-step explanation:
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,
,
Differentiating with respect to time (t),
Here,
Also, ( Ladder length = constant ),
Which is the required notation.
The solutions of given equation are -3, -1, and 3
All possible rational zeros are {±1,2,3,6,and all fractions formed by a combination of the integers)
By inspection using integers first...
1-7-6=-12 1 is not a root
8-14-6=-12 2 is not a root
27-21-6=0 so 3 is a root so (a-3) is a factor....
(a^3-7a-6)/(a-3)
a^2 rem 3a^2-7a-6
3a rem 2a-6
2 rem 0 so now we know that we have:
(a-3)(a^2+3a+2) and we can factor the second expression...
(a-3)(a^2+a+2a+2)
(a-3)(a(a+1)+2(a+1))
(a-3)(a+2)(a+1)
So there are three values of a that make the equation true....
a={-1, -2, 3}
Answer:
y=-3x-11
Step-by-step explanation:
y=mx+b
m is slope
b is y-intercept