Answer:
20 miles per hour
Step-by-step explanation:
The distances traveled by each car are perpendicular, so we can find the distance between the cars using the Pythagoras' theorem between their distances traveled:

Where d is the distance between the cars, d1 is the distance traveled by the first car and d2 is the distance traveled by the second car.
The distance traveled is calculated by the speed times the time traveled, so we have:




The rate that the distance is increasing can be found with the derivative of the distance in relation to the time:

So the rate that the distance increases is always 20 miles per hour, and it's independent of the time.
Answer:
-15/2 (or -7 1/2)
Step-by-step explanation:
-7.5 is equal to -75/10.
When you simplify it, you get:
-15/2 which simplifies to -7 1/2
For a relation to be a function every x value will have a single y value.
The first one has two x values of -2 but their y values are different so can’t be a function.
The second one has two 10’s with different y values so isn’t a function.
The 3rd one has 1 and -1 with the same y value, so isn’t a function.
The correct answer is the 4th choice
Answer: 
Step-by-step explanation:
Given: An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water.
Total drinks= 10+15+15 = 40 (Total outcomes)
Number of drink that does not contain fruit juice = Number of bottles of water = 15 (Favorable outcomes)
The probability of getting a drink that does not contain fruit juice = 

So, the required probability =
.
Answer:
...
Step-by-step explanation: