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Find the distance between the points (9, –6) and (–4, 7). Question 15 options: A) B) C) D)

Sagot :

Nayefx

Answer:

[tex] \huge \boxed{ \boxed{ \tt \sqrt{170} }}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • coordinates
  • PEMDAS

given:

  • point:(9,-6),(-4,7)

tips and formulas:

  • [tex]d = \sqrt{(x _{2} - x _{1} ) ^{2} + (y_{2} - y_1 {)}^{2} } \atop[/tex]

let's solve:

  1. [tex] \sf substitute \: the \: value \: o f \:x _{2} \: x _{1} \: y_{2} \: y_1 \: respectively : \\ \sqrt{(9-(-4) ) ^{2} + (-6 - (-7){)}^{2} } [/tex]
  2. [tex]\sf simplify : \\ \sqrt{(9-(-4) ) ^{2} + (-6 - (-7){)}^{2} } \\ \sqrt{(9 + 4 {)}^{2} + ( - 6 + 7 {)}^{2} } \\ \sqrt{ {13}^{2} + {1}^{2} } \\ \sqrt{169 + 1} \\ \sqrt{170} \\ [/tex]

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