Answer:

Step-by-step explanation:
Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:
First airplane

Where t is the time measured in hours.
Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

Rate of change of such distance can be found by the deriving the expression in terms of time:

Where
and
, respectively. Distances of each airliner at 2:30 PM are:


The rate of change is:


Answer:
y-2=-4(X-4)
Step-by-step explanation:
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
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