P (n, 6) = 5P(n, 5) we have
n! 5 n!
_______ = _______ divide out n!
(n - 6)! (n - 5)!
1 = 5
____ _______ cross-multiply
(n - 5)! = 5(n - 6)! Note that we can write (n - 5)! as (n - 5) (n - 6)!
(n -5) (n - 6)! = 5(n - 6) ! divide both sides by (n - 6)!
n - 5 = 5
n = 10
Proof
P(10, 6) = 151,200
5P(10 - 5) = 151,200
Yep....!!!
1 √2 + 1 √2 + 1
______ * _____ = _______ = √2 + 1
√2 - 1 √2 + 1 2 - 1
1. 6y^2 - y - 51 = (6y +17) (y - 3) = (3*2y + 17) ( y - 3)
A = 2 B = 17 C = 3
So
(AC)^2 - B = (2*3)^2 - 17 = 6^2 - 17 = 36 - 17 = 19
2. We need the distance formula * 4 = √ [( -4 - 1)^2 + (-2 - 10)^2 ] * 4 =
√ [ (-5)^2 + (-12)^2 ] * 4 =
√ [25 + 144 ] * 4 =
√169 * 4
13 * 4 =
52 = the perimeter
3. Midpoint formula [ (9+ 1)/2 , (6 - 2) /2 ]
I'll let you compute that one
Hectictar's answer is correct
She just made a typo....the y intercept is -4
4
__________________ =
√108 + 2√12 + 2√27
___________________ =
6√3 + 4√3 + 6√3
4 √3 4√3 √3
____________________ * ______ = _____ = ____
16√3 √3 48 12
Welcome aboard, Nirvana......
Create vector AB = B - A = (0, 2,0) - (2, 0 , 2) = ( -2, 2, -2)
Then the equation of the line is just
LAB = (2,0,2) + t (-2, 2, -2)
Very nice, power !!!!
10 yards = 30 ft
So....
2(W + L) = Perimeter
2(6 + L) = 30 divide both sides by 2
6 + L = 15 subtract 6 from both sides
L = 9
And Area = W * L = 6 * 9 = 54 square feet
