There are 8 choices for the first painting on the wall, 7 choices for the second, and so on, down to three choices for the sixth. Our result is thus 8*7*6*5*4*3=20,160. C is the correct answer.
For this case we must simplify the following expression:
We eliminate the parentheses taking into account that:
So:
We add similar terms taking into account that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
Answer:
Answer:
(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal
Step-by-step explanation:
a and b are parallel is a=kb
a and b if a dot b = 0
(a) a dot b = (9)(-4)+6(6)=-36+36=0
a and b are orthogonal
(b) a dot b = 40-7-21=12
a=kb -> there is no k value satisfying the equation
a and b are neither parallel or orthogonal
(c) a dot b = -12-108-48=-168
a=kb -> k=-3/4 satisfies the equation
a and b are parallel
(d) a dot b= 9-3-6=0
a and b are orthogonal
Answer:
7) 10^(3/2)
8) 2^(1/6)
9) 2^(5/4)
10) 5^(5/4)
Step-by-step explanation:
7) (√10)^3 = 10^(3/2)
8) 6 root 2 = 2^(1/6)
9) (4 root 2)^5 = 2^(5/4)
10) (4 root 5)^5 = 5^(5/4)
