Answer:
The equation of the line is y = -2x + 6
Step-by-step explanation:
The first step in finding the equation of the line is plotting the points. The next step is to go up 12 units from the bottom point to reach the second point. Then, go left 6 units to find the difference in x-values. Finally, use the slope to connect the points with a line.
I graphed the points and the line on the graph below.
The length of the ladder nearest hundredth of a foot is 23 feet.
We have given that,
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.
The ladder makes an angle of the ground.
Therefore we get,
Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.
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Answer:
There are 1716 ways the three positions can be filled by these applicants.
Step-by-step explanation:
Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.
For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.
In this case there are 3 available nursing positions to be filled.
A total of 13 candidates are qualified for all the three positions.
Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.
Compute the possible number of selections as follows:
Thus, there are 1716 ways the three positions can be filled by these applicants.