Answer:
DL/dt = 529 miles/h
Step-by-step explanation:
The radio station (point A) the point just up the radio station ( point B), and the variable position of the plane ( at specif t point C) shape a right triangle wich hypothenuse L is:
L² = d² + x²
d is the constant distance between the plane and the ground
Then differentiation with respect to time on both sides of the equation
2*L*dL/dt = 2*d* Dd/dt + 2*x*dx/dt
But Dd/dt = 0
L*dL/dt = x*dx/dt
x = 5 miles dx/dt = 570 m/h L = √ d² + x² L √ (5)² + (2)²
L = √29 L = 5.39 m
5.39 *DL/dt = 5*570 m/h
DL/dt = 5*570/5.39 miles/h
DL/dt = 528.76 miles/h
DL/dt = 529 miles/h
Answer:

Step-by-step explanation:

__
The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Answer:
1.6666666667
Step-by-step explanation: remove the decimal points.
| 3x - 1 | + 7 = 2
| 3x - 1 | = 2 - 7
| 3x - 1 | = -5.....no solution because an absolute value cannot equal a negative number.
| 2x + 1 | + 4 = 3
| 2x + 1 | = 3 - 4
|2x + 1 | = -1...same thing...no solution..cannot equal a neg. number
so Eq. 1 and Eq. 2 both have NO SOLUTIONS :)