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Mathematics 7 Online
OpenStudy (freemap):

helpppp

OpenStudy (freemap):

What is the exact distance between points A and B? A. 11 units B. 85 units

OpenStudy (anonymous):

Do you remember the formula for distance?

OpenStudy (freemap):

11 is my answer a

OpenStudy (anonymous):

That doesn't seem to be correct.

OpenStudy (anonymous):

\[d=\sqrt{(x _{2}-x _{1})^2+(y _{2}-y _{1})^2}\]

OpenStudy (freemap):

please hold while i use formula

OpenStudy (anonymous):

Alright.

OpenStudy (michele_laino):

hint: we can write this: \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( { - 4 - \left( { - 2} \right)} \right)}^2} + {{\left( { - 4 - 5} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( 2 \right)}^2} + {{\left( { - 9} \right)}^2}} = \sqrt {4 + 81} = ...? \hfill \\ \end{gathered} \]

OpenStudy (freemap):

4+-81=85 -77=85 8.774=9.219

OpenStudy (michele_laino):

hint: we get this: \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( { - 4 - \left( { - 2} \right)} \right)}^2} + {{\left( { - 4 - 5} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( 2 \right)}^2} + {{\left( { - 9} \right)}^2}} = \sqrt {4 + 81} = \sqrt {85} \hfill \\ \hfill \\ \end{gathered} \] so the requested distance is \(d= \sqrt{85}\)

OpenStudy (freemap):

9.21

OpenStudy (michele_laino):

yes!

OpenStudy (freemap):

Oh, I didn't look at the answer choices C

OpenStudy (michele_laino):

that's right! It is option C)

OpenStudy (freemap):

Thanks @Binary and @Michele_Laino

OpenStudy (michele_laino):

:)

OpenStudy (anonymous):

Yes. C is right. No problem. :)

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