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.
Answer:
43 questions in total
Step-by-step explanation:
the original equation with the unknown (total number of questions on the test) will look like this

we know this because to work out a percentage in the 1st place you need the total ÷ number (in this case it's ÷ how many questions out of the total she did answer)
now you rearrange.
you need to move the 24 to get the total on it's own here's how you do it

what you do to one side of equation you have to do to the other. the 24 and 24 on the left will cancel because 24÷24=1 and we don't write
got mum of Q's x 1= 80 x 24
now you convert % to decimal

replace

now you take the original and + the 19

therefore there are a total of 43 questions on the exam
To solve the inequality, you need to isolate/get the variable "p" by itself in the inequality:
5p + 26 < 72 Subtract 26 on both sides
5p + 26 - 26 < 72 - 26
5p < 46 Divide 5 on both sides to get "p" by itself


p < 9.2 Your answer is A
The answer would be B and here’s the steps :)