Answer:
Explanation:
To write the standard equation of a circle with its center in the fourth quadrant tangent to x=7, y=-4 and x=17, we can first find the center of the circle.
Since the center is in the fourth quadrant and tangent to x=7, y=-4 and x=17, the center must lie on the line x=12 (the midpoint between 7 and 17) and y=-4 (the point of tangency).
So the center of the circle is (12, -4).
Next, we need to find the radius of the circle. Since the circle is tangent to x=7 and x=17, the radius is the distance from the center to either x=7 or x=17.
The radius is thus 12 (the difference between 12 and 7) or 5 (the difference between 12 and 17).
So the standard equation of the circle is:
(x - 12)^2 + (y + 4)^2 = 25