A circle is drawn on a coordinate plane with the center point at (−4,5) and a radius of 2. In the standard form of the Pythagorean Theorem, (x−h)2+(y−k)2=r2, which number would replace the variable k?(1 point)

Question

k=

Answer 1

In the standard form of the equation of a circle \((x - h)^2 + (y - k)^2 = r^2\), the \(k\) value corresponds to the \(y\)-coordinate of the center of the circle.

Given that the center of the circle is at \((-4, 5)\), the \(y\)-coordinate \(k\) is \(5\).

So, the answer is: \(k = 5\)