Answer:
hi hi hi hi hi hi hi hi hi h hi
Answer:
150
Step-by-step explanation:
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
Since, it is given that angle A is a right angle and angle B is a right angle.
We have to prove that 
Now, we have to complete the given statement.
It is given that 
and 
are right angles. This means that 
and 
because of the definition of the right angles. By the substitution property of equality .
First, we want to convert 700 feet to inches:700 feet (12 inches/ft) = 8400 inchesWe know that the diameter is 16 inches, so the circumference is 16π inches or 50.3 inches.We can divide 8400/50.3 to get about 167.1 rotations.
