David runs out of gas so he gets out of his car and walks 44 yards north and 29 blocks yards east. How far is he from his car if he walked back in a straight line? Round your answer to the nearest tenth. Click Here for Help Video.
To find the distance David is from his car, we can use the Pythagorean theorem.
Let's call the distance he walked north 44 yards and the distance he walked east 29 yards.
Let x be the distance from his car to the point where he ends up after walking north and east.
Using the Pythagorean theorem:
x^2 = 44^2 + 29^2
x^2 = 1936 + 841
x^2 = 2777
x = √2777
x ≈ 52.7
Therefore, David is approximately 52.7 yards away from his car.
What is the smallest value of y that would make the following list of a points not a function.
{(___, 13), ( 9, 16), (15, 21))
In order for a set of points to represent a function, each input value (x-value) must have only one output value (y-value).
Looking at the given set of points:
{(___, 13), (9, 16), (15, 21)}
For the set to not be a function, there must be at least one x-value that corresponds to more than one y-value.
If we look at the x-values 9 and 15:
- When x = 9, y = 16
- When x = 15, y = 21
Since each x-value corresponds to a unique y-value, this set is a function.
Therefore, the smallest value of y that would make the list of points not a function would be if an x-value repeated with a different y-value. In this set of points, all x-values are unique, so there is no smallest value of y that would make it not a function.
what's the answer???
I apologize for the confusion in my previous response. Let me clarify:
The set of points {(___, 13), (9, 16), (15, 21)} represents a function because each unique x-value is associated with a unique y-value. In this case, the x-values 9 and 15 both have distinct y-values.
Therefore, the set of points given is already a function, and there is no smallest value of y that would make the list of points not a function.