Need help with the below 5 questions. Please include the work and the answer is typed out! Thanks:

1:

Give the equation of the semicircle that is the top half of the circle centered at (0, 4) with radius 5. The two points (-2, 4) and (4, 2) are the endpoints of the diameter of a circle. Write the equation of the circle in standard form. a. O (x - 1)2+ (y - 3)2= 40 b. O (x - 1)2+ (y - 3)2= 100 C. O (x - 1)2 + (y - 3)2 = 10 d. O ( x - 1)2 + (y - 3)2= 20Find an equation of the circle that has at its center (3, -1) and passes through the point (2, 2). (X3)2+(y+1)2: o (X3)2+(y+1)2:34 I o (x3)2+(y+1)2=16 o (x3)2+(y+1)2=2 \fWrite the given equation in standard form, and determine if the graph of the equation is a circle, a point, or neither. 1:1 + y1 + x + y = 0 I O -_