Question 1: What is the radius of the circle defined by the equation (x - 1)^{2} + (y + 5)^{2} = 49? 1 7 5 6 Question 2: In the x, y plane, what is the area of the triangle created by the x axis, the y axis and the 4y + 5x = 20 line? 4 5 10 20 Question 3: In the x, y plane, calculate the area of the quadrilateral delimited by the x axis, the y axis, the x = 6 line and the y = -6 line. 6 16 26 36 Question 4: Suppose we apply dilation by a factor of 0.5, centered at the origin of the Cartesian system, to the segment AB in the figure below. The coordinates of point A are (0, 40) and the coordinates of point B are (30, 0). Locate the images A' and B' of the points A and B under this dilation and calculate the distance d = A'B'. 20 25 30 50 Question 5: What is the slope of the perpendicular bisector of line segment AB if A[-2,-5] and B[0,-1]? 2 0.5 -2 -0.5 Question 6: What is the area interior to the circle x^{2} + y^{2} = 1 that satisfies the inequality y < x - 1? Question 7: What is the equation of the circle of center (4,4) that passes through the point (0,1)? (x-4)^{2} + (y-4)^{2} = 25 x^{2} + (y-1)^{2} = 25 (x-4)^{2} + (y-4)^{2} = 5 (x-1)^{2} + y^{2} = 16 Press the Submit button to see the results.