Answer:
An Acute Angle
Step-by-step explanation:
Answer:
-390 mph
Step-by-step explanation:
Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...
d² = a² + b²
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
Solving for d', we get ...
d' = (a/d)a' +(b/d)b'
The value of d at the time of interest is ...
d = √(a² +b²) = √(30² +40²) = √2500 = 50
Then the rate of change of separation is ...
d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph
d' = -390 mph
The distance between planes is decreasing at 390 miles per hour.
Answer:
Combine like terms
Step-by-step explanation:
The first step in such equations is to simplify the equation which is done most often by combining like terms, and by combining like terms i mean for example:
1 + 5 + 3x = 4y + z
You will combine the like terms (those that can be added or subtracted):
6 + 3x = 4y + z
In our example, combining terms would be adding 2x/3 and 1x/3 to give
3x/3 + 2 = 5
The equation is now simple and easy to solve as you simplify 3x/3 to 1x and then proceed to rearrange the equation to yield the value of x
Hope this helps!
Answer:
x = 4 or x = -4 is your answer
