Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
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<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
Answer:
27 weeks.
Step-by-step explanation:
You need to calculate the minimun common multiple between the three times.
1 week = 1^1 week
9 weeks = 3^2 weeks
27 weeks = 3^3 weeks
You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.
Answer:
Step-by-step explanation:
It's rational. The square root of 36 is either 6 or -6. Both are rational because both are integers.
1. 14:8, 21:12 28:16
2. 10/12 15/18 20/24
5. 5:4
6. No
7. No
8. Yes
9. No
10. 15