The magnitude of each vector is the Pythagorean sum of its components.
a. |v1| = √(2² + (-6)²) = √40 = 2√10
|v2| = √((-4)² + 7²) = √65
b. To make each vector into a unit vector, divide each component by the vector's magnitude.
u1 = v1/|v1| = (2/(2√10), -6/(2√10))
u1 = (√10/10, -3√10/10)
u2 = v2/|v2| = (-4/√65, 7/√65)
u2 = (-4√65/65, 7√65/65)
Answer:
x+(x-3)+(2*x)=41
Step-by-step explanation:
We know that the other two bills are based of of a constant value for fives. Therefore, the fives can be x. There are 3 less tens than fives, so the number of tens equals x-3. We double the number of fives to get the number of ones, so the number of ones equals 2 times x. When we add all 3 of those together, we get our total number of 41. If you want to solve, you have to solve for x, then you can plug it back into the formula. I hope this helps!
Answer:
25 pages
Step-by-step explanation:
Create a proportion:
= 
= 
Cross multiply and solve for x, the number of pages in 75 minutes:
60x = 1500
x = 25
So, he can read 25 pages in 75 minutes at the same rate
Answer:
21-9 = 12
Step-by-step explanation:
I don't know if this is the correct sentence you are looking for though but i hope it helps
Answer:
5
Step-by-step explanation:
570000/5.7 is 100000
100000 is 10^5
