Explore a diverse range of topics and get expert answers on IDNLearn.com. Our community provides accurate and timely answers to help you understand and solve any issue.

Find the distance between the points (0,–1) and (0,–11). Question 4 options: 9 10 12 11

Sagot :

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]

Answer:

10 units

Step-by-step explanation: