Number 17 is Infinity. I'm still working on the rest
| u | = √(2² + (-1²)) = √5
| v | = √ ( 1² + (-8)² = √65
cos (u,v) = ( u * v ) / (| u | * | v |) =
(2 * 1 + ( -1 ) * ( - 8 )) / √5 √ 65 = (2 + 8) / √5 √65 = 10 / (√5 √ 65 )
The length of a larger diagonal:
d 1² = | u |² + 2 |u| |v| + | v |² = 5 + (2 √5 √65 * 10 / √5 √65 )+65
d 1² = 70 + 20 = 90
d 1 = √ 90 = 3√10
d 2² = 70 - 20 = 50
d 2 = √50 = 5√2
Answer:
The lengths of the diagonals are: 3√10 and 5√2 .
Answer:
B) 1/x^2
Step-by-step explanation:
Simplify the following:
x^9/x^11
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.
Combine powers. x^9/x^11 = x^(9 - 11):
x^(9 - 11)
Hint: | Evaluate 9 - 11.
9 - 11 = -2:
Answer: x^(-2) = 1/(x^2)
Answer:
66-4y
Step-by-step explanation:
(11x3 – 2y)2
= (33 -2y)2
= 66-4y
