Hi, I need help solving the following problems please - thank you in advance!!

1. Find the general form of the equation of the circle with center at the point (2, -3) containing the point (5, -3).

a. x² + y² + 4x - 6y + 4 = 0

b. x² + y² - 4x + 6y + 22 = 0

c. x² + y² + 4x - 6y + 22 = 0

d. x² + y² - 4x + 6y + 4 = 0

2. The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.

15, 36, 39

a. right triangle; 39

b. right triangle; 15

c. right triangle; 36

d. not a right triangle

3. Write the standard form of the equation of the circle with radius r = 2 and center (h, k) = (0, 0).

a. x² + y² = 4

b. x² + y² = 2

c. (x - 2)² + (y - 2)² = 2

d. (x - 2)² + (y - 2)² = 4

4. List the intercepts of the graph. Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of these.

a. intercepts: (0, -5) and (0, 5); symmetric with respect to y-axis

b. intercepts: (-5, 0) and (5, 0); symmetric with respect to origin

c. intercepts: (0, -5) and (0, 5); symmetric with respect to x-axis, y-axis, and origin

d. intercepts: (-5, 0) and (5, 0); symmetric with respect to x-axis, y-axis, and origin

5. Graph the circle with radius r = 2 and center (h, k) = (-4, -1).

a.

b.

c.

d.

6. B = {18, 6, -11, 0, 0/3, 0.33, -6, 0.999...}. List all the elements of B that are irrational numbers.

a. {6, -6p, 0.999...}

b. {6, 0/3, -6}

c. {6}

d. {6, -6}