<span>The dot product here is 10(9) + 6(5)=120
so the vectors are not orthogonal
</span><span>u.v = |u| x |v| cos (theta) ; theta is the angle between them
we know from above that u.v = 120
|u| = sqrt[10^2+6^2]=11.66
|v| = sqrt[9^2+5^2]=10.29
so we know:
theta =cos^-1 120/(11.66x10.29)
so theta = 25 degrees</span><span>
</span>
Answer:
9 Sodas
Step-by-step explanation:
Because 12 times 9 equals 108
Let X be the number of hours
Brady drives 60 mph for X number of hours, which is written as 60x.
Mary drives 45 mph for x number of hours, which is written as 45x.
The equation to solve for the number of hours is:
60x + 45x = 1365
Simplify:
105x = 1365
Divide both sides by 105:
x = 1365 / 105
x = 13 hours.
Answer:
3x - 11
Step-by-step explanation:
(x-4)+(2x-7)
We can remove the parenthesis because we are adding and not multiplying.
x - 4 + 2x - 7 Combine like terms
x + 2x - 4 - 7
3x - 4 + - 7
3x - 11
Answer:
C
Step-by-step explanation:
