Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
see below
Step-by-step explanation:
10 are blue, 30 are yellow, 20 are red, and 40 are green.
There are 100 marbles in the bag
The color that has the most marbles is green
P( green) = 40/100 = 40%
P( yellow) = 30/100 = 30%
P( red) = 20/100 = 20%
P( blue) = 10/100 = 10%
You will be more likely to pick a green marble
I don’t know i don’t speak spanish
The answer is 8. You rewrite the fraction as 5.25.
Answer:
slope = 12/5 or 2.4
Step-by-step explanation:
(-2,-7), (3,5)
(5 - (-7) / 3 - (-2)) = (12 / 5)
slope = 12/5 or 2.4
