Answer:
y = 1/2x + 5/2
P.S, this isn't geometry really. It's more like algebra :)
Step-by-step explanation:
Step 1: Find equation of line AB
m = (5 - 1)/(-2 - 0)
m = 4/-2
m = -2
y = -2x + 1
Step 2: Find slope of perpendicular line
<em>Take the negative reciprocal of line AB</em>
m = 1/2
y = 1/2x + b
Step 3: Find <em>b</em>
6 = 1/2(7) + b
6 = 7/2 + b
b = 5/2
Step 4: Rewrite perpendicular equation
y = 1/2x + 5/2
or
y = 0.5x + 2.5
Answer:
C
Step-by-step explanation:
Elevation of the plane is y.
y =
The airplane starts at an elevation of 8500 feet
y = 8500
It is said that the plane loses elevation at a rate of 150 feet per minute.
y = 8500 - 150
We don't know how many minutes the plane has been losing elevation so we use <em>m</em>
y = 8500 - 150m
Answer:
a) 66
b) 45
Step-by-step explanation:
We have 12 horses and after the first race 2 of them have to be eliminated
that condition is equal to consider that 10 horses will be available for the second race.
The number of possiblities we have for the first race is the combination of 12 horses in group of 10
C¹²₁₀ = 12!/ (2!)* (12-2)! = 12*11/2 = 66
For the second race
C¹⁰₈ = 10! / 8! * (10-8)! = 10*9/ 2 = 45
20 books per shelf × 6 shelves = 120 books
Answer: 120
