Answer:
B is at the origin. D is on the x-axis.
Step-by-step explanation:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
For a point to be on the x - axis, its coordinate on the y- axis is zero. So, for a point on the x- axis with coordinate, x, it is the point (x,0) and it lies on the x axis. So, point D is on the x - axis.
For a point to be on the y - axis, its coordinate on the x - axis is zero. So, for a point on the y- axis with coordinate, y, it is the point (0,y) and it lies on the x axis. So, point A is on the y - axis.
The point C which is at (1,2) lies in the plane x-y since it has both x and y coordinates.
59 is a tough bird to deal with; its only factors are 1 and 59.
Thus, forget about factoring. Instead, use the quadratic formula, or solve the equation by completing the square.
Please note: x2 is ambiguous. Please write x^2 to indicate "the square of 2."
Here you have 1x^2 - 12x + 59 = 0, for which a=1, b=-12 and c=59.
Use the quadratic formula: x=[-b plus or minus sqrt(b^2-4ac)] / (2a)
to find the two roots. Notice that the "discriminant" b^2 - 4ac will be negative, meaning that your two roots will be "complex."
