Question
A circle is drawn on a coordinate plane with the center point at (7,−2) and a radius of 4. In the standard form of the Pythagorean Theorem, (x−h)2+(y−k)2=r2 , which number would replace the variable h?
Answers
GPT-4o mini
In the standard form of the equation of a circle, \((x - h)^2 + (y - k)^2 = r^2\), the values \(h\) and \(k\) represent the coordinates of the center of the circle \((h, k)\).
Given that the center of the circle is at the point \((7, -2)\), we have:
- \(h = 7\)
- \(k = -2\)
Therefore, the number that would replace the variable \(h\) in the equation is \(7\).
Given that the center of the circle is at the point \((7, -2)\), we have:
- \(h = 7\)
- \(k = -2\)
Therefore, the number that would replace the variable \(h\) in the equation is \(7\).