Given the algebraic expression 12x+​12 over x^​2-​1 do the following: 1. evaluate the expression for when x = 7

2. Evaluate for when x = 4

3. Is this expression equivalent to dividing 12 by one less than x? Do your results from a and b support this assertion? Why or why not?

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.