To find the total distance Paul will travel on his way home, we need to calculate the distance between each location and add them up.
From Paul's friend Jacob's house to the grocery store:
This distance is represented by 2 times the square root of 17.
From the grocery store to Paul's house (home):
This distance is also represented by 3 times the square root of 17.
Thus, the total distance Paul will travel on his way home is 2 times the square root of 17 plus 3 times the square root of 17, which simplifies to 5 times the square root of 17.
Therefore, the correct option is 5 square root of 17.
Paul's mom asks him to stop at the grocery store on his way home from his friend Jacob's house to pick up some ingredients she needs for dinner. The graph below shows the location of all three places Paul will be this afternoon. Find the total distance Paul will travel on his way home.
(1 point)
Responses
517−−√
5 square root of 17
217−−√
2 square root of 17
317−−√
3 square root of 17
617−−√
5 answers
If Paul drops the groceries he purchased halfway between the grocery store and his home, where would that location be on the graph?
(1 point)
Responses
(0, 32)
(0, 32)
(−12, 32)
(−12, 32)
(0, −32)
(0, −32)
(−6, −32)
(−6, −32)
(1 point)
Responses
(0, 32)
(0, 32)
(−12, 32)
(−12, 32)
(0, −32)
(0, −32)
(−6, −32)
(−6, −32)
To determine where the location would be on the graph, we need to find the midpoint between the grocery store and Paul's home.
The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the grocery store (0) and Paul's home (-6). The average is (-6 + 0)/2 = -6/2 = -3.
The y-coordinate of the midpoint can be found by taking the average of the y-coordinates of the grocery store (-32) and Paul's home (-32). The average is (-32 + (-32))/2 = -64/2 = -32.
Therefore, the location where Paul would drop the groceries halfway between the grocery store and his home would be (-3, -32).
Thus, the correct option is (−3, −32).
The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the grocery store (0) and Paul's home (-6). The average is (-6 + 0)/2 = -6/2 = -3.
The y-coordinate of the midpoint can be found by taking the average of the y-coordinates of the grocery store (-32) and Paul's home (-32). The average is (-32 + (-32))/2 = -64/2 = -32.
Therefore, the location where Paul would drop the groceries halfway between the grocery store and his home would be (-3, -32).
Thus, the correct option is (−3, −32).
If Paul drops the groceries he purchased halfway between the grocery store and his home, where would that location be on the graph?
(1 point)
Responses
(0, 3/2)
(−12, 3/2)
(0, −3/2)
(−6, −3/2)
(1 point)
Responses
(0, 3/2)
(−12, 3/2)
(0, −3/2)
(−6, −3/2)
To determine where the location would be on the graph, we need to find the midpoint between the grocery store and Paul's home.
The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the grocery store (0) and Paul's home (-6). The average is (-6 + 0)/2 = -6/2 = -3.
The y-coordinate of the midpoint can be found by taking the average of the y-coordinates of the grocery store (0) and Paul's home (-3/2). The average is (0 + (-3/2))/2 = -3/4.
Therefore, the location where Paul would drop the groceries halfway between the grocery store and his home would be (-3, -3/2).
Thus, the correct option is (−3, −3/2).
The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the grocery store (0) and Paul's home (-6). The average is (-6 + 0)/2 = -6/2 = -3.
The y-coordinate of the midpoint can be found by taking the average of the y-coordinates of the grocery store (0) and Paul's home (-3/2). The average is (0 + (-3/2))/2 = -3/4.
Therefore, the location where Paul would drop the groceries halfway between the grocery store and his home would be (-3, -3/2).
Thus, the correct option is (−3, −3/2).