How to get x^2+6x+7 into vertex form

Translate the following situation into an inequality statement . lily has $25 to spend on a charm bracelet for her sisters birthday gift the cost of the bracelet is $12 plus $1.50 per charm

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.