Question

find the distance between the poins P(-1, 1) and Q(5, -7).​

Answer 1

Answer:

10 units

Step-by-step explanation:

Hope it will help you!!!

#Khushboo Goel

Answer 2

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$\mathtt{\huge{\underline{\red{Answer\: :}}}}$

$\: \large \green{ \bold { \underline{ \: step \: by \: step \: explaination}}}$

$\sf{Given} \begin{cases} p(-1,1) \\ Q(5,-7) \\ To \: find \: the \: distance \: between \: two \: points=? \end{cases}$

$\implies\underline{\bf{by \: using \: distance \: formula }}$

$\implies\displaystyle\sf{PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

$\implies\displaystyle\sf{PQ=\sqrt{(5-(-1)^2+(-7-1)^2}}$

$\implies\displaystyle\sf{PQ=\sqrt{(6)^2+(-8)^2}}$

$\implies\displaystyle\sf{PQ=\sqrt{36+64}}$

$\implies\displaystyle\sf{PQ=\sqrt{100}}$

$\implies\displaystyle\sf{PQ=10cm}$

$\heartsuit\boxed{\underline{\bf{the \: distance \: between \: P \: and \: Q \: is \: 10cm}}}$