Question

Find the distance between the pair of points: (1,3) and (-6, -6).distance : ?​

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} + {( - 6 - 3)^{2} } }}}$

$\longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {( - 9)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{49 + 81}}}$

$\longrightarrow{ \sf{ \sqrt{130}}}$ units

Hope I helped!

Best regards! :D