f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
2,000 because 4 multiplied by 500 equals 2,000
Answer:
68 in³
Step-by-step explanation:
Cylinder = 3x2x2x3=36
Sphere = 4/3x3x2x2x2=32
36+32=68
Answer:
peer group is a group of people of approximately the same age, status, and interests.
democracy is a system of government by the whole population or all the eligible members of a state, typically through elected representatives.
hope this helps
have a good day :)
Step-by-step explanation:
Area of a trapezoid formula:
A = 1/2(Base1 + Base2)*height
I will assume that WX and YZ are the two bases, since that's the only thing that logically makes sense to answer the question.
Plug in what we know
I believe the Area is meant to be 144 unit^2, as no area is ever given as 144^2
144 = 1/2(18 + 18) * h
solve for h
144 = 18 * h
h = 144/18
h = 8
The height is 8.
