Answer:
good for the farmer
Step-by-step explanation:
Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2
basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2
see each
first one
-70=2(9)(4)
-70=72
false
second
-90=2(8)(5)
-90=80
false
third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer
the answer is 81x^2-72x+16
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.
What kind of subject do you tutor in ? c:
Answer: exact form :
374/25
decimal form:
14.96
mixed numbers form:
14/24//25
Step-by-step explanation:
