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:
7 - x = 20 hope this helps!!
Step-by-step explanation:
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Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is
Y= 5x+42
-5x +y =42
He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
Median: middle number
Mean: average
How to calculate the median:
1) line the numbers in order from least to greatest
0 1 2 4 5 24
(you do not need to write all the fours or fives, one four or five is enough to represent it)
2) Next, take one number off each end at a time until you have one number in the middle left (if there are two numbers left in the middle, add them together, than divide them by two)
3) The median is 4 becuase it is in the middle.
How to calculate the mean:
1) Add all the numbers together
0+24+1+4+5+2+5+4 = 45
2) Now we divide 45 by 8 because there are eight numbers in the list
45/8 = 5
3) The mean is 5.
Answer: Median = 4, Mean = 5
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