Respuesta :

Nayefx

Answer:

[tex] \huge \boxed{ \boxed{ \text{10 \: units}}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • coordinates
  • PEMDAS

tips and formulas

  • [tex] \tt d = \sqrt{(x _{2} - x_{1} {)}^{2} + ( y_{2} - y_{1} {)}^{2} } [/tex]

let's solve

  1. [tex] \sf substitute \: the \: value \: of \: x_2 \: x_1 \: y_2 \: y_1 : \\ \sqrt{ {(0 - 0)}^{2} + {( - 1 - ( - 11)}^{2} } [/tex]
  2. [tex] \sf simplify \: \{parentheses \} : \\ \sqrt{ {0}^{2} + {10}^{2} } [/tex]
  3. [tex] \sf simplify \: \{ exponets \} : \\ \sqrt{0 + 100} [/tex]
  4. [tex] \sf simplify \: \{add \} : \\ \sqrt{100} [/tex]
  5. [tex] \sf simplify \{squre \: root \} : \\ \therefore 10[/tex]
footewillie08

Answer:

10 units

Step-by-step explanation:

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