Answer:
8×ED=3×15
ED=45/8
the radius is the half of the diameter
so its 45/16
Answer:x³-8x²-x+8
Step-by-step explanation:
x are equal to -1,1,8 respectively
to form the polynomials just simply use this method put (x-)to the given numbers that are zeros of the polynomials
(x-(-))(x-1)(x-8)
(x+1)(x-1)(x-8) →(x+1)(x-1) are diff. of two squares (x²-1)
(x²-1)(x-8)
x²(x-8)-1(x-8)
p(x)=x³-8x²-x+8
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east. Then we can say that there positions, y and x are:
y=150-600t x=200-800t
By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:
d^2=y^2+x^2, using y and x from above
d^2=(150-600t)^2+(200-800t)^2
d^2=22500-180000t+360000t^2+40000-320000t+640000t^2
d^2=1000000t^2-500000t+62500
d=√(1000000t^2-500000t+6250)
So the rate of change is the derivative of d
dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)
dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)
So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...
...
To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...
1000000t^2-500000t+62500=0
6250(16t^2-8t+1)=0
6250(16^2-4t-4t+1)=0
6250(4t(4t-1)-1(4t-1))=0
6250(4t-1)(4t-1)=0
6250(4t-1)^2=0
4t-1=0
4t=1
t=1/4 hr
Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)
Acute: The angle is LESS than 90 Degrees
Obtuse: The angle is MORE than 90 Degrees
Right: The angle is EXACTLY 90 Degrees
Baker's Flour in kg
Y x x
A x x
X x x x x x x
I -----------------------------------------------------------
S 2 1/2 3 1/4 4 4 1/4 4 1/2 5
X axis
It would be 3.5 in each bag after the baker redistributes the flour. This is because the total flour would be 35 kg. 35 divided by 10 is 3.5 kg of flour in each bag.
