Which of the following would give the distance between R and S if the coordinate...

Questions

March 2021 1 18 Report

Which of the following would give the distance between R and S if the coordinates are (3, 7) and (3, -4) respectively?

A. 9 C. 10

B. 11 D. 12

Answers & Comments

MichoInong

Answer:

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Which of the following would give the distance between R and S if the coordinates are (3, 7) and (3, -4) respectively?

A. 9

C. 10

B. 11

D. 12

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Step-by-step explanation:

Formula:

$\large \tt \: d = \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1}) ^{2} }$

Given:

$\large \tt x_{1} = 3$

$\large \tt x_{2} = 3$

$\large \tt y_{1}= 7$

$\large \tt y_{2} = - 4$

Solution:

$\large \tt d = \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1}) ^{2} }$

$\large \tt d = \sqrt{(3 - 3)^{2}( - 4 - 7) ^{2} }$

$\large \tt d = \sqrt{(0)^{2} + ( - 11) ^{2} }$

$\large \tt d = \sqrt{0 + 121}$

$\large \tt d = \sqrt{121}$

$\huge{ \green{ \boxed{ \boxed{ \tt{d = 11}}}}}$

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Answers & Comments

Answer:

B. 11

Step-by-step explanation:

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