A circle has the equation 2x2+12x+2y2−16y−150=0.
Jerene must convert the equation to standard form. She writes a description of the steps she can take to convert the equation, but she is missing some information.
Step 1: Divide each term by 2 so that the coefficient of x2 and y2 will be 1.
Step 2: Add _[blank 1]_ to both sides.
Step 3: Add _[blank 2]_ to both sides to complete the square for the x's.
Step 4: Add _[blank 3]_ to both sides to complete the square for the y's.
Step 5: Factor the trinomial of the x's and rewrite as a perfect square, _[blank 4]_.
Step 6: Factor the trinomial of the y's and rewrite as a perfect square, _[blank 5]_.
Step 7: The standard form of the equation is _[blank 6]_.
Match each numbered blank to the answer that correctly fills the corresponding blank in the proof.