Mathematics: 1. what is the length of the segment joining the points at (-1,6) and (-5,3) 2. what is the length of the segment joining the points at (-4, 1) and (3,7)

D. a number divided by 7 , would be x/7 ....

1. what is the length of the segment joining

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nkslsj

05.01.2022

QUESTION 1

We want to find the length of the segment joining the points at (-1,6) and (-5,3).

We use the distance formula which is given by the formula,

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

$d=\sqrt{( - 5 - - 1)^2+(3 - 6))^2}$

$d=\sqrt{( - 5 + 1)^2+(3 - 6)^2}$

$d=\sqrt{( - 4)^2+( - 3)^2}$

$d=\sqrt{16+9}$

$d=\sqrt{25}$

$d = 5 \: units$

QUESTION 2

We want to find the length of the segment joining at (-4,1) and (3,7).

We use the distance formula to get,

$d = \sqrt{(3 - - 4)^{2} + {(7 - 1)}^{2} }$

$d = \sqrt{(3 + 4)^{2} + {(7 - 1)}^{2} }$

$d = \sqrt{7^{2} + {6}^{2} }$

$d = \sqrt{49+ 36 } .$

$d = \sqrt{85 } \: units$

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1. what is the length of the segment joining the points at (-1,6) and (-5,3) 2. what is the length of the segment joining the points at (-4, 1) and (3,7)

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