Question

Given R = (-3,2) and D = (3,-3) find RD

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{61} \: \: units}}}}}$

Step-by-step explanation:

Let R ( -3 , 2 ) be ( x₁ , y₁ ) and D ( 3 , -3 ) be ( x₂ , y₂ )

Using distance formula

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

$\dashrightarrow{ \sf{ \sqrt{ {(3 - ( -3)) }^{2} + {( - 3 - 2)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {(3 + 3)}^{2} + {( - 3 - 2)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ {6}^{2} + {( - 5)}^{2} } }}$

$\dashrightarrow{ \sf{ \sqrt{ 36 + 25 } }}$

$\dashrightarrow{ \sf{ \sqrt{61} }}$ units

Hope I helped!

Best regards! :D