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AmI2Fast4Ya

07.07.2021 •

Mathematics

Find the length of the line AB

Find the length of the line AB

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Ответ:

julielebo8

06.08.2021

${ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units$

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Ответ:

mmcdaniels46867

14.05.2023

D. Point S will be translated to (4,3) and then reflected to (4,-3)

Step-by-step explanation:

1. Translate triangle PQR 2 units to the left according to the rule

$(x,y)\rightarrow (x-2,y).$

Then

$P(-8,5)\rightarrow P''(-10,5)\\ \\Q(-5,8)\rightarrow Q''(-7,8)\\ \\R(-3,6)\rightarrow R''(-5,6)$

2. Reflect triangle P''Q''R'' across the x-axis according to the rule

$(x,y)\rightarrow (x,-y).$

Then

$P''(-10,5)\rightarrow P'(-10,-5)\\ \\Q''(-7,8)\rightarrow Q'(-7,-8)\\ \\R''(-5,6)\rightarrow R'(-5,-6)$

If point S(6,3) is transformed the same way as triangle PQR, then

$S(6,3)\rightarrow S''(4,3)\ \text{(Translation 2 units to the left)}\\ \\S''(4,3)\rightarrow S'(4,-3)\ \text{(Reflection across the x-axis)}$

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