The unit vector is given by the following formula:
a '= (a) / (lal)
Where,
a: vector a
lal: Vector module a
We are looking for the module:
lal = root ((- 15) ^ 2 + (8) ^ 2)
lal = 17
Same direction:
a = -15i + 8j
The unit vector is:
a '= (1/17) * (- 15i + 8j)
Opposite direction:
a = 15i - 8j
The unit vector is:
a '= (1/17) * (15i - 8j)
Answer:
a unit vector that has the same direction as the vector a is:
a '= (1/17) * (- 15i + 8j)
a unit vector that has the opposite direction of the vector a is:
a '= (1/17) * (15i - 8j)
Answer:
The length of each smaller piece, l=L/n inches
Step-by-step explanation:
This can be expressed as;
Total length=Length per piece×number of pieces
where;
The total length=L
length per piece=l
number of pieces=n
Substituting in the equation;
L=l×n
To get the length of each smaller piece;
l=L/n inches
solving;
l=30.75/3=10.25 inches
Answer:
Second one
Step-by-step explanation:
if 2x - y = 4
then 2x + 4 would have to = y
The equation where 2x + 4 = y is the second
y = 2x + 4
Answer:
<h2> a. 1188 in.² </h2>
Step-by-step explanation:
Area of parallelogram is: A = B•H {H⊥B}
B = 36 in.
H = 33 in.
A = 36 in. • 33 in. = 1188 in.²
Multiply points per visit x number of visits, using x for the number of visits:
5.5x
Add that to the points she already has:
5.5x + 60
This needs to equal a total of 104 points:
5.5x + 60 = 104
Now solve for x
5.5x + 60 = 104
Subtract 60 from both sides
5.5x = 44
Divide both sides by 5.5
X = 8
She needs 8 more visits