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raptortrainor2013
12.08.2021 •
Mathematics
Select all the correct answers.
Consider functions fand g.
f(x) = 4(x – 3)2 + 6
g(x) = -2(x + 1)2 + 4
Which statements are true about the relationship between the functions?
The vertex of function gis 4 units to the left of the vertex of function f.
The vertex of function gis 2 units below the vertex of function f.
Function gopens in the same direction as function f.
Function gopens in the opposite direction of function f.
The vertex of function gis 2 units above the vertex of function fi
vertex of function gis 4 units to the right of the vertex of function f.
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Ответ:
Step-by-step explanation:
f(x) = 4(x-3)² + 6
Up-opening parabola with vertex (3, 6)
g(x) = -2(x+1)² + 4
Down-opening parabola with vertex (-1,4)
A. True
B. True
C. False
D. True
E. False
F. False
Ответ:
Volume of cylinder(V) is given by:
where, r is the radius of the cylinder and h is the height of the cylinder
From the diagram:
Diameter of a pipe (d) = 10 cm
height of the pipe(h) = 2m
Use conversion:
1 m = 100 cm
then
2m = 200 cm
⇒h = 200 cm
Since, a pipe is in the form of cylinder.
We have to find the volume of a pipe.
We know that:
⇒![10 = 2r](/tpl/images/1198/0969/5324f.png)
Divide both sides by 2 we get;
5 = r
or
r = 5 cm
Substitute the given values and use π = 3.14. in [1] we have;
Simplify:
Therefore, the volume of a pipe in cm³ is, 15700