Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' = 
Thus, the coordinates of the resulting point B' is (-1,1)
Answer: 
Step-by-step explanation:
Given
Two forces of 9 and 13 lbs acts
angle to each other
The resultant of the two forces is given by

Insert the values

Resultant makes an angle of

So, the resultant makes an angle of
with 9 lb force
Angle made with 13 lb force is 
Answer:
34/4 = 8.5 dollars per hr
12 x 8.5 = 102
Answer: $102
Step-by-step explanation:
First step: find the unit rate (how much she earns per hour )
34/4 = 8.5
Next: Find how much she wants to work for
Then: Create the equation.
12 x 8.5
Last: multiply 12 and 8.5 and you should get your answer of 102 dollars
REMEMBER TO ADD THE DOLLAR SIGN