Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
Answer:
point a
Step-by-step explanation:
(0,-7) would be left 7 units so its point a
Answer:
x = 23/7
Step-by-step explanation:
7 x + 15 equals 38
7x+15 = 38
Subtract 15 from each side
7x+15-15 = 38-15
7x = 23
Divide each side by 7
7x/7 = 23/7
x = 23/7
Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
Answer:
B
Step-by-step explanation:
Recall that functions are defined only if for each value in the domain produces one and only one value in the range.
If we view the relations in the questions as x-y coordinates, this means that for every x-value, you can only have one y-value
Lets evaluate the options:
A) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
C) we can see that for x = 3, this gives 2 possible values for y i.e (3,-8) and (3,8) (hence this is not a function)
D) we can see that for x = -3, this gives 2 possible values for y i.e (-3,4) and (-3,8) (hence this is not a function)
the only choice where this doesn't occur is choice B
