For this case, the first thing we want to do is substitute the value of y = 15 in the equation. We have then: 15 = -0.08x ^ 2 + 1.6x + 10 Rewriting we have: 0 = -0.08x ^ 2 + 1.6x + 10 - 15 0 = -0.08x ^ 2 + 1.6x - 5 The solutions are: x1 = 3.876275643042054 x2 = 16.123724356957947 Nearest whole number: x1 = 4 x2 = 16 were about 15 tons of trout caught in the lake in the years: 1995 + 4 = 1999 1995 + 16 = 2011 Answer: The year 1999 and the year 2011
The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.
Look at the point's x and y coordinates:
First point:
x = -5, y = 6
Second point:
x = 5, y = 6
You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.
To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:
5 - (-5) = 5 + 5 = 10
The answer will be the following statement:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
