| 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:
(-1,6)
Step-by-step explanation:
The missing part of this question is the system given as;
We solve for c in the top equation to get:
Substitute into the bottom equation to get:
Expand to get:
Group similar terms to get:
Put into to get:
The solution is (-1,6)
Answer:
12
Step-by-step explanation:
divide 90 by 3 then take that and divide it by 5 then multiply that by 3 then subtract that from the answer of 90 divide by 3
Answer:
(-5,4)
Step-by-step explanation:
I think you mean 48. 4 * x = 48. x = 48/4 = 12
