Leading coefficient = -3
Constant = 2
When you order them in standard form, you need to put them in ascending order of the exponents. Therefore the -3x^2 would come first, which makes the number attached (-3) the lead coefficient.
Also, since the number (2) without an x attached would be last (due to the power of x technically being 0), than that is the constant.
Answer:
C) (8,12)
Step-by-step explanation:
Its directly because it is it is hard to expain
Answer:
A.
Step-by-step explanation:
Blueberries
7/8 + 8/9 = 1 55/72
1 55/72 x 4 =
1 = 72
72 + 55 = 127
127/72 x 4/1 = 504/288
504/72 = 7/1
7
Even tho 7 isn´t an option I would pick A. because it is the closest
Answer:
1296√3 cubic units
Step-by-step explanation:
The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.
The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...
B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units
The volume of the prism is then ...
V = Bh = (108√3)(12) = 1296√3 . . . cubic units
_____
<em>Comment on the geometry</em>
The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.
