Answer: The below figure shows the graph of f(x).
Explanation: Given function, 
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values
, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).
Answer: 3600 seconds
Step-by-step explanation:
60 seconds in a minute
60 minutes in an hour
(60)(60) = 3600
Answer:
6 units
Step-by-step explanation:
Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.
To find: Length of GH.
Sol: EC = CH = 9 (Radius of the same circle are equal)
Now, GC = GH + CH
GC = GH + 9
Now In ΔEGC, using pythagoras theorem,
......(ΔEGC is a right triangle)





Now, Let GH = <em>x</em>

On rearranging,




So x = 6 and x = - 24
∵ x cannot be - 24 as it will not satisfy the property of right triangle.
Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.
1. ratio = 2 c of dressing / 4 lb of vegetables
Use two variables: d for the number of c of dressing and v for the number of pounds of vegetables.
Then d / v = 2/4 = 1/2 => d = v/2
Now you can make a table
v d
2 1
4 2
6 3
8 2
And you can draw a line for the points (2,1); (4,2); (6,3), (8,4) ... the slope of the graph is the ratio = 1/2
b) I already did it above as part ot the explanation: d/v = 1/2