Answer:
Step-by-step explanation:
Here we can see that the parent function is 
and the translated function is g(x). f(x) is a parabola.
Rule says that any factor if multiplied by f(x) is going to contract the graph towards the y axis and vice versa.
Similarly any factor if f(x) is divided by some factor it is going to be stretch the graph away from the y axis and vice versa.
Here we can see that the translated graph g(x) is stretched away from the y axis with reference to the parent function f(x). Hence as per he rule discussed above, we get a preliminary information that the parent function f(x) is being divided by some factor.
now we are given that
Where as
{as given in the graph}
Hence
at x=3 , f(x) = 9 and g(x) = 1 , and also we have discussed above that f(x) is divided by some factor. Hence 
Given:
Big cone : diameter = 12 cm ; height = 18 cm ; base = 14 cm
Small cone: diameter = 12 cm ; height = 6 cm ; base = 14 cm
Volume of a cone-shaped container = π r² h/3
Big cone:
V = 3.14 * (6cm)² * 18cm/3
V = 3.14 * 36cm² * 6cm
<span>V = 678.24 cm³
</span>Small cone:
V = 3.14 * (6cm)² * 6cm/3
V = 3.14 * 36cm² * 2cm
<span>V = 226.08 cm³
</span>Big cone - small cone = volume of water
678.24 cm³ - 226.08 cm³ = 452.16 cm³
Answer:
c. 4y -x = 8
Step-by-step explanation:
Each of the equations can be put into slope-intercept form (solved for y) as follows:
a: y = 4x +9
b: y = 4x -8
c: y = (1/4)x +2
d: y = 4x -4
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The equations containing the term "4x" all describe parallel lines. The equation containing (1/4)x describes a line that intersects the given line. It is not parallel to the others.
Answer:
C. SSS
Step-by-step explanation:
Thus, the ratio of the corresponding side lengths of both triangles are equal. This implies that all three corresponding side lengths of both triangles are proportional to each other.
Consequently, based on the SSS Criterion, we can conclude that both triangles are similar to each other.
