Refer to the figure below.
Define unit vectors as follows:

in the eastern direction

in the northern direction
Given:
Vectors a and b point due west and south respectively. Therefore

Part (a)

The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west
Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.
Part (b).

The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.
Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.
Answer:
y = 6x - 43
Step-by-step explanation:
(6, -7) and (8,5)
m=(y2-y1)/(x2-x1)
m=(5 + 7)/(8 - 6)
m= 12/2
m = 6
y - y1 = m(x - x1)
y + 7 = 6(x - 6)
y + 7 = 6x - 36
y = 6x - 43
The inequality n <span>≥ 9 properly represents the graph because the arrow is pointing to the right of 9, and the dot is filled in on 9, representing Greater than or equal to.
Hope that helped!</span>
Answer:
Kennedy did not distribute the 3 to the numbers in the parentheses.
Step-by-step explanation:
The simplified expression should be -3x+24.