Question

What is the distance between M(–4, 2) and N(6, –3)?

Round to the nearest tenth.

Answer 1

your opinion please ?

Answer 2

whats the formula again

Answer 3

Distance between points (x1,y1) and (x2,y2) is
\(\huge d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
does this help ??

Answer 4

yes

Answer 5

what is the distance that you got?

Answer 6

hint:
we can write this:
\[\begin{gathered}
d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\
\hfill \\
= \sqrt {{{\left( { - 4 - 6} \right)}^2} + {{\left( {2 - \left( { - 3} \right)} \right)}^2}} = \hfill \\
\hfill \\
= \sqrt {{{\left( { - 10} \right)}^2} + {{\left( 5 \right)}^2}} = ...? \hfill \\
\end{gathered} \]

Answer 7

-100+25
8.660

Answer 8

we have \((-10)^2=100\)

Answer 9

oh, yes sorry
100+25
11.180

Answer 10

that's right!
Next please round such value to the nearest tenth

Answer 11

11.19

Answer 12

I think it is \(11.2\)

Answer 13

oh, yes I see

Answer 14

Thank you