Answer: The answer is (C) (4,1).
Step-by-step explanation: Given points are A(0,3), B(-1,4) and C(2,-1). Obviously, these points will form a triangle. We need to find the co-ordinates of the point B', which is formed after rotating the figure counter-clockwise 90 degrees.
The point B(-1,4) lies in the second quadrant. After rotating 90 degrees counter-clockwise, the this point will lie in the first quadrant. So, both the x-coordinate and y-coordinate will be positive. Also, the two coordinates will exchange. Please see the attached figure.
Thus, the coordinates of point B' are (4,1).
Hence, (C) is the correct option.
The system of equations have no solution.
Explanation:
The equations are and
To find the two numbers, let us solve the equations using substitution method.
From the equation , let us determine the value of r,
Let us substitute the value of r in , we get,
which is not possible.
This means that the system has no solution.