Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:
To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:
Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :
We know d'=20 km/h, so we can solve for x' and find the speed of the SUV
Thus we have
Solving for x'
Since y'=-60
The SUV is running at 70 km/h
Fr like i need my answers
<span>A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 10, 20, 30, 40, and 50. Points are shown on ordered pairs 0, 0 and 2, 10 and 4, 20 and 6, 30 and 8, 40. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.</span>
Answer:
(-2,8)
Step-by-step explanation:
To solve by substitution, first isolate a variable in one of the equations. Then, substitute the value of the variable from that equation into the other equation, giving either the x or y value of the solution. Finally, substitute that answer back into one of the two equations, finding the other missing value.
1) For both of the equations, the variable y has already been solved for. So, we can choose to substitute whatever y equals in one equation for the y in the other equation. Any choice is fine - I chose to substitute -4x for the y in y = 3x + 14.
2) Now that x has been solved for, substitute the value for the x in one of the equations. Any choice is fine here, too - I chose to substitute -2 in y = -4x:
3) Both the x and y value of the solution has been solved for. x = -2 and y = 8. Therefore, the solution is (-2,8).
Answer:
1.42
Step-by-step explanation:
1.4166666666667
1.416666666667
1.41666666667
1.4166666667
1.416666667
1.41666667
1.4166667
1.416667
1.41667
1.4167
1.417
1.42