Respuesta :
Answer:
Step-by-step explanation:
eq of circle is (x-h)²+(y-k)²=r²
where (h,k) is center of circle and r is the radius.
given eq. of circle is (x+10)²+(y-4)²=100
or {x-(-10)}²+(y-4)²=10²
center is (-10,4)
and radius =10 units
Answer:
The center of the circle would be the point (-10,4).
Step-by-step explanation:
When an equation for a circle is written in the center-radius form, it makes it easier to tell where the center will lie.
The traditional equation for a circle is (x-h)²+(y-k)²=r², with the center of (h,k) and a radius of r, can be applied to this situation. Since the given equation has a value added to the x within the parentheses, the formula tells us that it must be a negative point, so we have x=-10. Similarly we can easily pull out the y-coordinate which would just be 4.
Thus, the answer is (-10,4).
