Respuesta :
we need to use distance formula
Distance=√((x2-x1)²+(y2-y1)²)
Distance=√((7-5)²+(3-(-1))²)=√(4+16)=√20=2√5≈4.47
Distance=√((x2-x1)²+(y2-y1)²)
Distance=√((7-5)²+(3-(-1))²)=√(4+16)=√20=2√5≈4.47
[tex]4.47[/tex] is the distance between points [tex]A(7,3)[/tex] and [tex]B(5,-1)[/tex].
What is distance between points?
The formula of distance between two points is A([tex]x_{1} ,y_{1}[/tex]) and B([tex]x_{2} ,y_{2}[/tex]) is given by: d (P, Q) = [tex]\sqrt{(x_{2}-x_{1} )^{2}- (y_{2}-y_{1} )^{2} }[/tex]
According to question, we have to find the distance between points [tex]A(7,3)[/tex] and [tex]B(5,-1)[/tex].
So, the distance between points [tex]A(7,3)[/tex] and [tex]B(5,-1)[/tex]
[tex]=\sqrt{(5-7)^{2} +(-1-3)^{2} }[/tex]
[tex]=[/tex][tex]\sqrt{4+16}[/tex]
[tex]=2\sqrt{5}[/tex]
[tex]=4.47[/tex]
Hence, we can conclude that the distance between points A(7,3) and B(5,-1) is [tex]4.47[/tex]
Learn more about distance between points here:
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