Subtract using the number line.
1 answer:
Given numbers -1/3 and -1 2/3.
On the number line first we plot -1/3.
We have negative numbers on left side of 0.
First number on left side of 0 is -1.
1/3 is the fraction third part of 1.
So, we need to plot a point on one third part between 0 and -1 from 0.
We need to add/subtract -1 2/3 into that -1/3 now.
We have 2/3 fraction with -1. So, we would move 2/3rd from 0 to -1.
We already at 1/3rd part between 0 and -1. The remaining part between 0 and -1 is 2/3rd part of 0 to -1.
So, moving -2/3 more to -1/3, we get exectly at -1.
And because we have -1 in front of 2/3 fracion in -1 2/3.
So, we would move one more number to left of -1 because we are exactly on -1 after moving -2/3rd of -1/3 point.
So, we would go exactly at -2.
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Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.