Prove the identity.
= 
What will be an ideal response?
= 
= 
= csc x - 1 = 
- 
= 
.
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An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.In how many ways can the men be presented first and then the women?
A. 5,040 B. 2 C. 72 D. 144
Find the missing value in the ordered pairs.y = - 
x + 10; 
, (4, ), ( , 13)
A. 
, (4, -4), (-2, 13)
B. 
, (4, 4), (2, 13)
C. 
, (4, -4), (-2, 13)
D. 
, (4, 4), (-2, 13)
Solve the problem.A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is 110 square feet. He wants the area planted with tomatoes to be more than 
of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let 
to be planted in tomatoes and 
to be planted in cucumbers.
A. x + y = 110 x ? 0.40y x ? 0 y ? 0 B. x + y ? 110 x > 0.40y x ? 0 y ? 0 C. x + y ? 110 x < 0.40y x ? 0 y ? 0 D. x + y ? 110 0.40x > y x ? 0 y ? 0
Solve the problem.Sue wants to put a rectangular garden on her property using 74 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.
A. A = 37x - 
x2
B. A = 36x - 
x2
C. A = 38x - 2x2
D. A = 37x2 - x