Ask your own question, for FREE!
Mathematics 6 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. :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Mari103: How to pop out like a Jacc In the box
7 hours ago 0 Replies 0 Medals
Breathless: Spooky witch but cute
14 hours ago 3 Replies 0 Medals
Arriyanalol: help
14 hours ago 10 Replies 2 Medals
Arriyanalol: @tinydinoUwU stop trying to find a argument u blad lil boy
1 day ago 5 Replies 4 Medals
Jaded012023: Please tell me what you all think of this song
17 hours ago 6 Replies 1 Medal
Arriyanalol: bro how
16 hours ago 2 Replies 3 Medals
Arriyanalol: cant wait for the new bluey movie in 2027
1 day ago 12 Replies 2 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!