Answer:
There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.
2x + 8 = 0 → x = −4
Step-by-step explanation:
Answer:
250 miles
Step-by-step explanation:
So we know that the time (t) equals 5 hours and that the rate (r) equals 50 mph. So knowing that, we can use the formula t*r=distance. We plug in the numbers and we get 250 miles.
Another way to think about this is, since we go 5 hours and 50 miles per hour, every hour we go 50 miles and we do that for 5 hours, so we go 50, 100, 150, 200, 250.
Answer: <u>110 feet per second</u>
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:


So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:


Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
Six squared plus four equals 40
6^2+4=40