Center (-1, 3) and tangent to the line y=2

Step-by-step explanation:

Standard form of the equation of a circle:  (x−h)2+(y−k)2=r2  

Where (h,k) is the center of the circle and r is the radius.

The center is given, just need to find the radius. A tangent line is given, and the radius drawn to the tangent point is perpendicular to the tangent line. Since the tangent line is horizontal the radius is vertical and the length can be counted. (If the tangent line was not horizontal or vertical, then a different method would be used (distance formula).) In this case the radius is 1. Thus the equation of the circle is:

(x+1)2+(y−3)2=1

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.