When you translate something in geometry, you're simply moving it around. You don't distort it in any way. If you translate a segment, it remains a segment, and its length doesn't change. Similarly, if you translate an angle, the measure of the angle doesn't change.
Answer:
Option D. two complex roots
Step-by-step explanation:
we know that
In a quadratic equation of the form 
the discriminant D is equal to
in this problem we have
so
substitute the values
The discriminant is negative
therefore
The quadratic equation has two complex roots
Answer:
c
Step-by-step explanation:
Start with the standard equation of a circle with center at (h,k) and radius r:
(x-h)^2 + (y-k)^2 = r^2. Substitute -5 for h and 12 for k:
(x-0)^2 + (y-0)^2 = r^2
Next, we substitute -5 for x and 12 for y, with the objective of determining the value of r^2:
(-5-0)^2 + (12-0)^2 = r^2. Then 25 + 144 = 169 = r^2, and r = 13.
Thus, the answer choice "x2 + y2 = 169" is the correct one.
Important: Please use " ^ " to denote exponentiation: x^2 + y^2 = 169.
