Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
<u>We are given the equation:</u>
(a + b)! = a! + b!
<u>Testing the given equation</u>
In order to test it, we will let: a = 2 and b = 3
So, we can rewrite the equation as:
(2+3)! = 2! + 3!
5! = 2! + 3!
<em>We know that (5! = 120) , (2! = 2) and (3! = 6):</em>
120 = 2 + 6
We can see that LHS ≠ RHS,
So, we can say that the given equation is incorrect
Answer:
462 
Step-by-step explanation:
Rectangular Prism: 7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
L ≥ 5w + 4
2(L+w) ≥ 32
L+w ≥ 16
6w + 4 ≥ 16
6w ≥ 12
w ≥ 2
L ≥ 5w + 4
L ≥ 14
If L = 14 and w = 2 then the perimeter is 32.
These are the smallest dimensions that fit the criteria.
Note: If we raise the width by 1 to w = 3
then the length is at least 19. At 19 by 3 we have P = 44
Like would be appreciated!!
Answer:
x = 1/2
Step-by-step explanation:
x^3 = 1/8
Take the cube root of each side
x^3 ^ (1/3) = (1/8)^ (1/3)
Rewriting 8 as 2^3
x^3 ^ (1/3) = (1/2^3)^ (1/3)
x = 1/2
