Establish the identity.1 - 
= - sin u
What will be an ideal response?
1 - 
= 1 - 
= 1 - 
= 1 - (1 + sin u) = - sin u
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Simplify the rational expression. If the expression is already in simplest form, state this as your answer.
A. 
B. 7
C. - 
D. -7
Solve.An arch in the shape of the upper half of an ellipse is used to support a bridge spanning a creek 30 feet wide. The center of the arch is 9 feet above the center of the creek. Write the equation for the ellipse in which the x-axis coincides with the road and the y-axis passes through the center of the arch.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Factor by grouping.12x2 - 25xt + 12t2
A. (4x + 3t)(3x + 4t) B. (4x - 3t)(3x - 4t) C. (12x - 3t)(x - 4t) D. Prime
A steel railroad expands and contracts according to the formula ?l = l??T, where ?l is the change in length, ? is a constant called the coefficient of linear expansion, l is the original length, and ?T is the change in temperature. If a 10 ft steel rail is installed at 0 o F how many inches will it expand when the temperature raises to 180 o F? 
A. ?l = 0.01 in. B. ?l = 0.54 in. C. ?l = 0.14 in. D. ?l = 0.24 in. E. ?l = 2.14 in.