Question

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

Answer 1

Answer:

$\huge \boxed{ \boxed{ \tt \sqrt{170} }}$

Step-by-step explanation:

to understand this

you need to know about:

• coordinates
• PEMDAS

given:

• point:(9,-6),(-4,7)

tips and formulas:

• $d = \sqrt{(x _{2} - x _{1} ) ^{2} + (y_{2} - y_1 {)}^{2} } \atop$

let's solve:

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