Answer:
Step-by-step explanation:
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Answer:
11
Step-by-step explanation:
The middle of the three is their average, their sum divided by 3:
middle = 27/3 = 9
Then the largest is 2 more. It is 11.
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
The answer would be it extends to infinity in both directions
Answer:
Triangles:
10 m, 21 m, 29 m
10 m, 29 m, 37 m
Not triangles:
10 m, 14 m, 29 m
10 m, 29 m, 40 m
Step-by-step explanation:
For a triangle to exist, the sum of any two sides of a triangle must be greater than that of the third side.
Let us check each of the options.
Option 1: 10 m, 14 m, 29 m
The sum of lengths 10 m and 14 m must be greater than 29 m.
10 + 14 = 24 < 29
So, this is not a triangle.
Option 2: 10 m, 21 m, 29 m
10 + 21 = 31 > 29
21 + 29 = 50 > 10
29 + 10 = 39 > 21
Therefore, it is a triangle.
Option 3: 10 m, 29 m, 37 m
10 + 29 = 39 > 37
29 + 37 = 66 > 10
37 + 10 = 47 > 29
Therefore, it is a triangle.
Option 4: 10 m, 29 m, 40 m
10 + 29 =39 < 40
So, this is not a triangle.
