7. Simplify this what’s the answer?
1 answer:
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Answer:
Surface area of the triangular prism = 186.984 feet²
Step-by-step explanation:
Surface area of the triangular prism is given by the expression,
Surface area = (Perimeter of the triangular base)×Height + Area of the triangular bases
Perimeter of the triangular base = (9.8 + 8.5 + 6.2)
= 24.5 ft
Height of the prism = 5.5 ft
Area of the triangular base =
=
= 26.117 square feet
Surface area of the prism = (24.5 × 5.5) + (26.117 × 2)
= 134.75 + 52.234
= 186.984 square feet
Part A
After dividing the first two terms by the coefficient of n², the coefficient of the linear term is -6, so we can complete the square by adding (and subtracting) the square of half that: (-6/2)² = 9.
... g(n) = n² -6n + 9 + 16 - 9
... g(n) = (n -3)² +7 . . . . . . . rewrite to vertex form
Part B
The generic vertex form is
... y = a(x -h)² +k . . . . . . for vertex (h, k) and vertical expansion factor "a"
Comparing this to g(n), we see a=1, h=3, k=7. When a > 0, the parabola opens upward, and the vertex is a minimum. Here, we have a > 0, so we can conclude ...
... the vertex (3, 7) is a minimum
Part C
The axis of symmetry is the vertical line through the vertex.
... x = 3
