Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:

Given the following expression:

You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace
with
and simplify:

2. Descompose 12 into its prime factors:

3. Substitute into the expression:

4. Since
, you can simplify it:

Answer:
The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.
Step-by-step explanation:
- Every point can be paired with a number on a number line
- The coordinate is the number associated with a point
- To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
We can divide 143.50 by 7. This gives us 20.5. This means that she works 20.5 hours a week or 21 hours if you round up.
Answer: Choice D
(a-e)/f
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Explanation:
Points D and B are at locations (e,f) and (a,0) respectively.
Find the slope of line DB to get
m = (y2-y1)/(x2-x1)
m = (0-f)/(a-e)
m = -f/(a-e)
This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.
Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.
4x+2y i hope that helps :3