Answer:
Step-by-step explanation:
Answer:
y= -2x+1
Step-by-step explanation:
y=mx+b
y= -2x +b
3= -2(1) +b
3= -2 +b
b=1
y= -2x+1
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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The volume is given by:
V = L * Apb * h
Where,
L: side of the base
Apb: apothema of the base
h: height
Substituting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
Rewriting we have:
V = (4) * ((root (3) / 2) * 4) * (6)
V = 96 * (root (3) / 2)
V = 48 * root (3)
Answer:
V = 48 * root (3)
