32-20 = 12
14-2 = 12
so the input is 12 more than the output
so 6+12 = 18
and
-10-12 = -22
Answer:
The minimum value of C is 20
Step-by-step explanation:
we have
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Using a graphing tool
The solution set of the constraints is the shaded area
see the attached figure
The vertices of the shaded area are (0,38),(9,2) and (12,0)
To determine the minimum value of C substitute the values of x and y of each vertex in the objective function and then compare the results

For (0,38) ---> 
For (9,2) ---> 
For (12,0) ---> 
therefore
The minimum value of C is 20
This is a work problem. It can be solved as follows:
Houston = 1/x
Dominique = (1/2x)
Together = 1/5
Then, we add Houston and Dominique:
1/x + 1/2x = 1/5
Solve for x,
x = 2/15
Therefore, it would take 15/2 hours for Houston to ice by himself, the last option.
Answer:

Step-by-step explanation:

Since the triangles are similar the ratios of the lengths of corresponding sides are equal.
tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4