90° clockwise rotation about the point 0,0
Answer: The required point = (1.857,8.643)
Step-by-step explanation:
Equation of circle with center (h,k) and radius r: 
Given: Radius = 5 , center = (0,4)
Eqation of circle: 

[Using equation y = 2.5 x + 4 ]







Hence, the required point = (1.857,8.643)
Answer:
The lines are perpendicular
Step-by-step explanation:
we have

isolate the variable y
----> equation A
The slope of the line A is 
-----> equation B
The slope of the line B is 
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem
The slopes of line A and line B are opposite reciprocal
therefore
The lines are perpendicular