A circle is drawn on a coordinate plane with the center point at (−4,5)

Question

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)
k=

Answer 1

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

Given that the center of the circle is at the point \((-4, 5)\), we can identify that:

• \(h = -4\) (the x-coordinate)
• \(k = 5\) (the y-coordinate)

Therefore, the value of \(k\) is:

\[ k = 5 \]