Answer:
The third option
Step-by-step explanation:
the most reasonable
The standard equation of circle when center is (h,k) and radius is 'r'

h = 2 and k = - 5, radius = 16
So equation of the circle is given by


Answer:
y= 1/12(x-0)^2+0
this answer works as an upward parabola
Step-by-step explanation:
- The formula for a veritcal parabola is y=1/4p(x-h)^2+k
- (h,k)= coordinates of the vertex of the parabola
- p= absolute value of the distance from the vertex to the focus/directrix
- In this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex.
- Now, you know the values of the variables. Fill in the values
- FROM THE FORMULA: 1/4p turns into 1/12 since p is 3.
- (x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0
- once all the variables are given values (except x and y) you have made your equation!
- The answer is y=1/12(x-0)^2+0
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Answer:
h(4z)=4+12z / 5+4z
Step-by-step explanation:
The function h is defined by h(x)=4+3x over 5+x
This can be written as
h(x)=4+3x / 5+x
The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.
To find h(4z), it means that x is taking the value of 4z.
We will substitute 4z in the place of x in the function. This becomes
h(4z)=4+3×4z / 5+4z
h(4z)=4+12z / 5+4z