[tex] \huge{ \color{gold}{ \bold{Answer:}}}[/tex]
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M(2,3) and N(9,8) find the distance between each pair of points on the coordinate plane.
☞ √74
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Step-by-Step explanation:
Formula:
[tex] \large \tt \: d = \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1}) ^{2} } [/tex]
Given:
[tex] \large \tt x_{1} = 2[/tex]
[tex] \large \tt x_{2} = 9[/tex]
[tex] \large \tt y_{1} = 3[/tex]
[tex] \large \tt y_{2} = 8[/tex]
Solution:
[tex] \large \tt \: d = \sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1}) ^{2} } [/tex]
[tex] \large \tt \: d = \sqrt{(9 - 2)^{2} + (8 - 3)^{2} } [/tex]
[tex] \large \tt \: d = \sqrt{( {7})^{2} + (5)^{2} } [/tex]
[tex] \large \tt \: d = \sqrt{49 + 25} [/tex]
[tex] \green{ \large{ \boxed{ \boxed{ \tt {\: d = \sqrt{74} }}}}}[/tex]
Since 74 has no square root, the answer remains the same. Therefore, the distance between M(2,3) and N(9,8) is:
[tex] \huge{ \red{ \boxed{ \tt{ \sqrt{74} }}}}[/tex]
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