Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.
2 answers:
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<em>Note: As you missed to mention the coordinate graph. After a little research I was able to find the graph and based on that graph I am answering your questions, which anyways would help you clear your concepts. </em>
<em> </em><em>Question # 4</em>
To Determine:
Part a) What are the coordinates (x, y) of a point halfway from City Hall to the hospital?
Part b) Is there more than one possibility?
Explanation:
Part a)
- As the the location of coordinates of City Hall is (0, 0).
- The hospital has the location at the point (-6, -4)
If we analyze the graph carefully, we observe that there is 10 blocks distance between City Hall to the Hospital. And when you travel by taxi, and cover the 5 blocks, it means you would have covered the halfway distance between City Hall to the hospital.
So, one of the coordinate (x, y) of a point halfway from City Hall to the hospital is (-1, -4). It could have also been (-4, -1). As both coordinates are indicating the half way distance from City Hall to the hospital, depending upon which route a car driver chooses.
Part b)
Yes, there is more than one possibility that there could be multiple coordinates (x, y) of a point halfway from City Hall to the hospital, as it entirely depends upon which route the taxi driver chooses to travel. For example, there is a total 10 block distance from City Hall to the hospital, and if a taxi covers 5 blocks, it means it has covered the halfway distance.
And to cover 5 block distance, there are multiple routes available a taxi driver can choose to travel. In short, the location of the coordinates of a point halfway from City Hall to the hospital is a function of the preference of the route chosen by taxi driver.
So, the points (-1, -4) and (-4, -1) are both the coordinates of a halfway from City Hall to the hospital.
<em> Question # 5</em>
To Determine:
Part a) Suppose you traveled by helicopter. What are the coordinates of a point halfway from City Hall to the hospital? How can a helicopter travel differently?
Part b) Is there more than one possibility?
Explanation:
Part a)
When we are travelling by helicopter, we may have the flexibility of choosing the shortest possible distance as a car driver may not get this flexibility due to certain reasons like terrain, or a road blockage etc.
So, the coordinates of the point of shortest possible halfway distance from City Hall to the hospital is (-3, -2).
Part b)
Please remember, if we are travelling by helicopter and the Pilot chooses a shortest possible route, then there is only one way for the shortest possible route as there is only one halfway point.
<em>Keywords: distance, shortest distance, coordinate, halfway distance</em>
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