-14+6b+7-2b=1+5b
step 1: simplify the equation
-7+4b=1+5b
step 2: collect your variables
-7=1+b
step 3: collect your whole numbers
-8=b
Answer:
y=1/3x-6
Step-by-step explanation:
equation: y=mx+b
m=slope, b=y-intercept
equation: y=1/3x-6
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 :)
Answer:
<u>The correct answer is A. 1/8</u>
Step-by-step explanation:
<u>Let's solve (1/3 * 9/16) / 1 1/2 = x</u>
(1/3 * 9/16) / 1 1/2 = x
9/48 / 1 1/2 = 9/48 * 2/3 = 18/144
18/144, we can simplify dividing by 18 at the numerator and the denominator, this way:
x = 18 ÷ 18/ 144 * 18 = 1/8
<u>The correct answer is A. 1/8</u>
The answer is 3ax -by + c hope this helps
