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.
For number 12 the answer is 15.36
Answer:
1) either 5 or 6 students in the group
2) 6 rooms are booked
Step-by-step explanation:
1) x students
3x + 8 = apples
5 (x-1) + y (the one get less than 5 apples)
3x + 8 = 5 (x - 1) + y
3x + 8 = 5x - 5 + y
2x + y = 13
X 1 2 3 4 5 6
Y 11 9 7 5 3 1
because y < 5 so x = 5 or x = 6
2) x rooms are booked
4x + 20 total students
8 (x-1) + y (the students in room not full))
4x + 20 = 8 (x-1) + y
4x + 20 = 8x - 8 + y
4x + y = 28
X 1 2 3 4 5 6
Y 24 20 16 12 8 4
y < 8 answer is 6 rooms
Answer: x = 35
Explanation: In this problem, notice that D is being divided by 5,
so to get D by itself, we need to multiply both sides of the equation by 5.
Notice that on the left side, the 5 and 5 cancel
each other out, so we are just left with D.
On the right side, we have (7)(5) which is 35.
So x = 35.
Finally, remember that we can check our answer
by plugging a 35 back into the original equation.
So we have 
.
Since this is a true statement, we know that our answer is correct, x = 35.
Answer:
<em>f(10)=290</em>
Step-by-step explanation:
<u>Function Evaluation</u>
Given a function f(x) as an explicit expression, finding f(x=a) implies substituting the value of x by a in every instance it occurs.
We are given the function:
It's required to find f(10). We replace the x for 10:
Operating:
Thus, f(10)=290
