The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively
The formula for calculating the resultant vector is expressed as:

Given the following distances:
u = -5√3 feet (west direction)
v = 5 feet
Substitute the given values into the formula above;

The magnitude of the resultant vector is 10feet
Get the direction:

Since tan is negative in the second quadrant, hence;

Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.
Learn more here: brainly.com/question/5177683
Let the width = x then length = x + 11 inches
Perimeter of a rectangle = 2*width + 2*length so we have the equation:-
( letting P = perimeter , L = length and W = width)
P = 2L + 2W
86 = 2(x + 11)) + 2x
86 = 4x + 22
4x = 86-22 = 64
x = 64 / 4 = 16 inches
Therefore the length of the rectangle = 16 + x
= 16 + 11 = 27 inches Answer
Answer:
Algebraic Expression is 9x + 101
Happy New Year from MrBillDoesMath!
Answer:
Part A:
point \ coordinates \ quadrant:
I (1,2) 1
L (-4,2) 2
K (-4,0) does not belong to any quadrant
J (3,-1) 4
M (4,-4) 4
Part B:
Point K = (-4,0) lies on the x-axis so reflecting it about the x-axis gives the same point. In other words, the "reflected" point has coordinates (-4,0)
Part C:
L = (-4,2). Reflecting it about the y-axis gives the point (4,2)
Thank you,
MrB