The distance from Museum to Zoo is 0.74 units longer than the distance from Museum to park.
Assuming straight distance between the points :
The distance formula between two points is :
[tex] d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 } [/tex]
Museum coordinate (-2, - 3)
Zoo coordinate (3, 3)
Park coordinate (-3, 4)
Distance from Museum to Zoo:
[tex]d = \sqrt {\left( {3 - ( - 2)} \right)^2 + \left( {3 - ( - 3) } \right)^2 }[/tex]
[tex]d \: = \sqrt{25 + 36} = \sqrt{61} = 7.81[/tex]
Distance from Museum to park :
[tex]d = \sqrt {\left( { - 3 - ( - 2)} \right)^2 + \left( {4 - ( - 3) } \right)^2 }[/tex]
[tex]d \: = \sqrt{ 1 + 49} = \sqrt{50} = 7.07[/tex]
[tex]7.81 - 7.07 = 0.74[/tex]
This means that :
Distance from Museum to Zoo is 0.74 units more than the distance from Museum to park.
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