13 for 6.5
X for 0.5
0.5/6.5*13=1
1 ounce for 0.5 arce
Y = 2/3x + -8 or y = 2/3x - 8
Answer:
The ladder should be 34 feet long.
Step-by-step explanation:
The height of the spotlight above ground = 30 feet
The base of the ladder will be = 16 feet from the base of house
We can easily assume this to be a right triangle with perpendicular as 30 feet and base as 16 feet and we have to find the hypotenuse.
Lets say the length of the ladder or hypotenuse is = x
We will apply Pythagoras theorem here.
=> 
=> 
=> 
So, x = 34
Hence, the ladder should be 34 feet long.
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
