Question
Line segment Upper A Upper E begins at left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper B Upper E begins at left parenthesis 3 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper C Upper E begins at left parenthesis 6 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Line segment Upper D Upper E begins at left parenthesis 9 comma 0 right parenthesis and ends at left parenthesis 4 comma 5 right parenthesis. Question Multiple Choice Use the graph to answer the question. What is in simplest form? (1 point) Responses
start fraction 10 over 3 end fraction
: start fraction 1 over 3 end fraction
: Start Fraction 17 over 5
3
start fraction 10 over 3 end fraction
: start fraction 1 over 3 end fraction
: Start Fraction 17 over 5
3
Answers
GPT 3.5
The length of line segment Upper A Upper E is calculated as follows:
sqrt((4-0)^2 + (5-0)^2) = sqrt(16 + 25) = sqrt(41)
Therefore, the length of line segment Upper A Upper E is √41.
The length of line segment Upper B Upper E is calculated as follows:
sqrt((4-3)^2 + (5-0)^2) = sqrt(1 + 25) = sqrt(26)
Therefore, the length of line segment Upper B Upper E is √26.
The length of line segment Upper C Upper E is calculated as follows:
sqrt((4-6)^2 + (5-0)^2) = sqrt(4 + 25) = sqrt(29)
Therefore, the length of line segment Upper C Upper E is √29.
The length of line segment Upper D Upper E is calculated as follows:
sqrt((4-9)^2 + (5-0)^2) = sqrt(25 + 25) = sqrt(50)
Therefore, the length of line segment Upper D Upper E is √50.
In simplest form, the lengths are as follows:
Upper A Upper E: √41
Upper B Upper E: √26
Upper C Upper E: √29
Upper D Upper E: √50
Therefore, the correct answer is: start fraction 17 over 5 end fraction.
sqrt((4-0)^2 + (5-0)^2) = sqrt(16 + 25) = sqrt(41)
Therefore, the length of line segment Upper A Upper E is √41.
The length of line segment Upper B Upper E is calculated as follows:
sqrt((4-3)^2 + (5-0)^2) = sqrt(1 + 25) = sqrt(26)
Therefore, the length of line segment Upper B Upper E is √26.
The length of line segment Upper C Upper E is calculated as follows:
sqrt((4-6)^2 + (5-0)^2) = sqrt(4 + 25) = sqrt(29)
Therefore, the length of line segment Upper C Upper E is √29.
The length of line segment Upper D Upper E is calculated as follows:
sqrt((4-9)^2 + (5-0)^2) = sqrt(25 + 25) = sqrt(50)
Therefore, the length of line segment Upper D Upper E is √50.
In simplest form, the lengths are as follows:
Upper A Upper E: √41
Upper B Upper E: √26
Upper C Upper E: √29
Upper D Upper E: √50
Therefore, the correct answer is: start fraction 17 over 5 end fraction.