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.
Option D:
15c ≤ 200
Solution:
Let c be the number of cases of tea bags.
Cost of each tea bag = 15 gold coins
Total gold coins Mad have = 200
<u>Set up an inequality:</u>
Cost of c tea bags = 15 × c = 15c
Mad can buy tea bags at most 200 gold coins.
(At most 200 means 200 is the greater value)
15 × c ≤ 200
15c ≤ 200
Hence option D is the correct answer.
Step-by-step explanation:
90.......................
Answer:
x(x^2+2)^3/2
Step-by-step explanation:
y'=1/2(x^2+2)^3/2.2x
= x(x^2+2)^3/2