Answer:
The unit vector in component form is 
or 
.
Step-by-step explanation:
Let be 
, its unit vector is determined by following expression:
Where 
is the norm of 
, which is found by Pythagorean Theorem:
Then, the unit vector is:
The unit vector in component form is or .
Answer:
r=-7
Step-by-step explanation:
Answer:
504 is divisible by 2, 3, and 7. It is not divisble by 5 or 11
Step-by-step explanation:
C'mon. Use a calcultor.
Answer:
x = 25; both labeled angles are 65º
Step-by-step explanation:
To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.
In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.
Thus,
(3x - 10)° = (x + 40)°
Solve for x
3x - 10 = x + 40
Subtract x from both sides
3x - 10 - x = x + 40 - x
3x - x - 10 = x - x + 40
2x - 10 = 40
Add 10 to both sides
2x - 10 + 10 = 40 + 10
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
*Plug in the value of x to find the measure of each labelled angles:
(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°
(x + 40)° = 25 + 40 = 65°
Answer:
Step-by-step explanation:
We are given that
We have to find the value of given logarithms by using change-base formula
Base-change formula:
Where x=New base
Using the formula then, we get
Substitute the values 
Then,we get
