Write an equation in standard form for each of the following conic sections. a. A parabola with vertex (1, 2) and directrix y = -2

b. A circle with center (2, 3) passing through the point (-3, 5)

c. A parabola with focus (-1,0) and directrix x = 1.

What is the volume of the sphere shown below with a radius of 3?

John checked his watch and said that it is thursday, 7 am. what will the day and time be 2006 hours plzzz i will give you 100 points

Add, subtract, multiply, or divide as indicated. list any restrictions for the variable(s) and simplify the answers when possible. 1) x-2 / x+5 + 3x / 2x-1 2) x+6 / x-6 - x^2 / x+6 3) x+9 / x-4 + x+2 / x^2-11x+28 4) x / x^2-64 + 11 / 2x^2+11x-40 5) 5 / x + 11 / x-3 - x-4 / x^2+2x-15