C . [x: 2 ,3 ,4 ,5 ,7 ,9 ]
Answer:
<em>The aircraft has a height of 1000 m at t=2 sec, and at t=8 sec</em>
Step-by-step explanation:
<u>Finding Exact Roots Of Polynomials</u>
A polynomial can be expressed in the general form
The roots of the polynomial are the values of x for which
Finding the roots is not an easy task and trying to find a general solution has been discussed for centuries. One of the best possible approaches is trying to factor the polynomial. It requires a good eye and experience, but it gives excellent results.
The function for the trajectory of an aircraft is given by
We need to find the values of t that make H=1000, that is
Dividing by -0.5
Rearranging, we set up the equation to solve
Expanding some terms
Rearranging
Factoring
This produces our first root t=2. Now let's factor the remaining polynomial
This gives us the second real root t=8. The other two roots are not real numbers, so we only keep two solutions
The answer is D: to dilate the triangle by a scale factor of 1:2 (or 1/2).
I hope this Helps!
Answer:
21, 24, 29
5
Step-by-step explanation:
The first term is when n = 1.
(1)² + 20 = 21
The second term is when n = 2.
(2)² + 20 = 24
The third term is when n = 3.
(3)² + 20 = 29
To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:
n² + 20 = 50
n² = 30
n ≈ 5.477
Rounding down, n = 5 is the last term that is less than 50.
Therefore, there are 5 terms in the sequence that are less than 50.