Answer: OPTION D.
Step-by-step explanation:
The formula that is used to calculate the slope of a line is:
Where 
and 
are two points on the line.
In this case the student finds the slope of the line that passes trough these points:
You can notice that she writes in the numerator that:
So she chose the point 
as and the point 
as .
Then 
and 
in the denominator must be:
Therefore, she did not keep the order of the points the same in the numerator and the denominator.
Answer:
Attached below
Step-by-step explanation:
Hope this helped
CD = x
BC = y
AB = 85
BD = BC+CD = y+x
tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257
tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117
So CD is roughly 5.877850926117 meters
The answer is -1/4
Perpendicular means opposite slope in this type of question
It would be -1/2 because the formula to find slope (rate of change) is (y2-y1)/(x2-x1) and in this case it would be (4.5-2)/(-3--2) which simplifies to (2.5)/(-5) which is -1/2
