Note: Since you may have probably unintentionally forgotten to add the choices, but I am solving this question as it would still help you clearing your concept and determining the correct choice.
Answer:
The measurement is closet to the length AB will be [tex]\sqrt{61}=7.81[/tex] units
Step-by-step explanation:
As the coordinates of the endpoints of AB are
As we know that the distance between two points is basically termed as the length of the line segment AB connecting them
As
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
So,
[tex]\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}[/tex]
[tex]=\sqrt{5^2+6^2}[/tex]
[tex]=\sqrt{25+36}[/tex]
[tex]=\sqrt{61}[/tex]
[tex]=7.81[/tex] units
So, the length AB or the distance between two points A(-4, 3 ) and
B ( 1, -3 ) will be [tex]\sqrt{61}=7.81[/tex] units
Therefore, the measurement is closet to the length AB will be [tex]\sqrt{61}=7.81[/tex] units
Keywords: distance between two points, distance formula
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