Question

The equation of a circle is X +10 squared plus Y -4 squared equals 100 what is the center of the circle

Answer 1

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 2

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).