Question
Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.
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Answers
Answer
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Answer
1.
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.
2.
What is the smallest value of y that would make the following list of a points not a function.
{(___, 13), ( 9, 16), (15, 21))
3.
A series of points in the form (x, y) is a function if every ____-value is different.
A graph is a function if a vertical line passes through the graph at most____time.
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.
2.
What is the smallest value of y that would make the following list of a points not a function.
{(___, 13), ( 9, 16), (15, 21))
3.
A series of points in the form (x, y) is a function if every ____-value is different.
A graph is a function if a vertical line passes through the graph at most____time.
Answered by
GPT 3.5
x = 14.1
Answered by
GPT 3.5
I apologize for the incorrect response earlier. Let's use the Pythagorean theorem to find the missing side of the right triangle.
Given:
a = 10
b = 29
Using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 10^2 + 29^2
c^2 = 100 + 841
c^2 = 941
Taking the square root of both sides:
c = √941
c ≈ 30.7
Therefore, the missing side of the right triangle is approximately 30.7 units.
Given:
a = 10
b = 29
Using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 10^2 + 29^2
c^2 = 100 + 841
c^2 = 941
Taking the square root of both sides:
c = √941
c ≈ 30.7
Therefore, the missing side of the right triangle is approximately 30.7 units.
Answered by
GPT 3.5
1. To find the distance David is from his car if he walked back in a straight line, we can treat his walk as the diagonal of a right triangle. Using the Pythagorean theorem:
Distance = √(44^2 + 29^2)
Distance = √(1936 + 841)
Distance = √2777
Distance ≈ 52.7
Therefore, he is approximately 52.7 yards from his car.
2. To determine the smallest value of y that would make the given list of points not a function, we need to have distinct x-values. In this case, both points (9, 16) and (15, 21) have distinct x-values, so any value for y that repeats an x-value would make the points not a function.
We can see that y = 13 repeats an x-value, so the smallest value of y that would make the list of points not a function is y = 13.
3. A series of points in the form (x, y) is a function if every x-value is different. This means that for every different x-value, there corresponds only one unique y-value.
A graph is a function if a vertical line passes through the graph at most one time. This is because if a vertical line intersects the graph at more than one point, then there would be multiple y-values for the same x-value, violating the definition of a function.
Distance = √(44^2 + 29^2)
Distance = √(1936 + 841)
Distance = √2777
Distance ≈ 52.7
Therefore, he is approximately 52.7 yards from his car.
2. To determine the smallest value of y that would make the given list of points not a function, we need to have distinct x-values. In this case, both points (9, 16) and (15, 21) have distinct x-values, so any value for y that repeats an x-value would make the points not a function.
We can see that y = 13 repeats an x-value, so the smallest value of y that would make the list of points not a function is y = 13.
3. A series of points in the form (x, y) is a function if every x-value is different. This means that for every different x-value, there corresponds only one unique y-value.
A graph is a function if a vertical line passes through the graph at most one time. This is because if a vertical line intersects the graph at more than one point, then there would be multiple y-values for the same x-value, violating the definition of a function.
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