Answer:
.
Step-by-step explanation:
We are given and
are zeros of the polynomial
.
We want to find the value of if
.
Lets use veita's formula.
By that formula we have the following equations:
(-b/a where the quadratic is ax^2+bx+c)
(c/a)
Let's simplify those equations:
If and
, then
.
Let's solve this for k:
Subtract 6 on both sides:
Find a common denominator:
Simplify:
.
Answer:
The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.
Step-by-step explanation:
When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy
h²+b² = 5², since h = 2, h² = 4, as a result
b² = 25-4 = 21, thus
b = √21.
Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.
The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function
We have to compute the derivate of f in x = 0.51. The derivate of f is given by
also,
The plane's distance from the station will increase about 8 miles per minute.
that's the solution ^
the answer is: 847.98 m^2
