The exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.
What is distance between two points?
It is the length of the straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take the absolute value while finding the distance between two given points. The distance formula is an application of the Pythagorean theorem.
For the given situation,
The mother fox is at (x₁, y₁) = (-7,7)
The kid fox is at (x₂, y₂) = (7,2)
The formula of distance between two points is
[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +{(y_{2}-y_{1})^{2}}[/tex]
⇒ [tex]d=\sqrt{(7-(-7) )^{2} +{(2-7)^{2}}[/tex]
⇒ [tex]d=\sqrt{(7+7)^{2} +{(2-7)^{2}}[/tex]
⇒ [tex]d=\sqrt{(14)^{2} +{(-5)^{2}}[/tex]
⇒ [tex]d=\sqrt{196+25}[/tex]
⇒ [tex]d=\sqrt{221}[/tex]
Hence we can conclude that the exact distance from the mother fox to her kid fox is option (B) √221 is the correct answer.
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