Answer:
m+2
Step-by-step explanation:
use the binomial expansion theorem to find and simplify each term
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)
If , then we can immediately cancel the factors of :
Factorize the numerator and denominator:
Next, if , then
Number of calories consumed on Monday = 2161
Number of Calories consumed on Tuesday = 2378
Number of Calories consumed on Wednesday = 1841
Daily average intake is 2200
Let calories intake on Thursday be X
Now ,
Average = sum of total calories/ number of calories
=> 2200 = 2161+2378+1841+X/4
=> 2200 x 4 = 6377 + X
=> 8800 = 6377 + X
=> X = 8800-6377
=> X = 2423
So Samuel must consume 2423 calories on Thursday