| 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 .
b is the answer because it hits positive two on the x axis and -3 on the y axis
Answer:
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Answer:
equation of the table is y=30x+60
60 degrees is what the temperature starts at
to get to 440 degrees he needs 12 minutes and 40 seconds
Step-by-step explanation:
the change in y over change in x is 90/3 which is the slope
slope is 30
if slope is 30 then 30*2+b=120 60+b=120 so b=60 and it is the y intercept
440=30x+60
380=30x
x=12 2/3
x= 12 minutes and 40 seconds