What is (f – g)(X); f (x) = x3 – 2x2 + 12x – 6 g(x) = 4x2 - 6x +4
1 answer:
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Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
(1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
(2)
By solving equation (2) for "h" we have:
Now, we can calculate the area of the roof (equation 1):
Therefore, the area of the roof is 3.80 m².
I hope it helps you!
Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
= -
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
= -
= - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form