The equation of a parabola is y=x2+2x–9. Write the equation in vertex form.

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

In the 30-60-90 triangle below side s has a length of and side r has a length

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.