Answer:
52.4
Step-by-step explanation:
% change = 100 x final initial/initial
Hello there! The formula for finding slope is y2 - y1 / x2 - x1, meaning you subtract the first x and y-coordinates, from the second x and y-coordinates. In this case, the formula would be set up as -2 - 5 / 2 -1, because (2, -2) is the second point and (1, 5) is the first point. The answer is C: 2 - 1.
The two consecutive integers the square root of 117 lies between are 10 and 11.
10 squared is 100 and 11 squared is 121.
Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.
If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.
If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.
However, the area x*y must be constant and = 100.
We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.
We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.
So, the difference between the max and min values of x+y = 101 - 20 = 81.
