Math, asked by Maria77, 1 year ago

Find the distance between the points
(i)(-7,-3) , (-5,-11)
(ii)(-6/5,3) , (-4,7/5)

Answers

Answered by Anonymous
7


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Answered by OrethaWilkison
12

Answer:

The distance(D) formula is used to determine the distance between two points with the coordinates (x_1 , y_1) and (x_2, y_2) is;

D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(i) (-7,-3) , (-5,-11)

To find the distance between them;

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

D = \sqrt{(-5-(-7))^2+(-11-(-3))^2}

or

D = \sqrt{(-5+7)^2+(-11+3)^2} =\sqrt{(2)^2+(-8)^2} = \sqrt{4+64} =\sqrt{68} =4\sqrt{17}

Therefore, the distance between the points  (-7,-3) and  (-5,-11) is, 4\sqrt{17}

(ii) (-6/5,3) , (-4,7/5)

To find the distance between them;

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

D = \sqrt{(-4-(\frac{-6}{5} ))^2+(\frac{7}{5} -3)^2}

or

D = \sqrt{(-4+\frac{6}{5} )^2+(\frac{7}{5}-3)^2} =\sqrt{(\frac{-14}{5} )^2+(\frac{-8}{5} )^2} = \sqrt{\frac{196}{25} +\frac{64}{25} } =\sqrt{\frac{260}{25} }

or

D =4 \cdot\sqrt{\frac{13}{5}}

Therefore, the distance between the points (-6/5,3) and (-4,7/5) is,

4 \cdot\sqrt{\frac{13}{5}}.

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