Question

Write the ordered pair that represents mp. Then find the magnitude of mp. M(2, -1), P(-3, 4)

Answer 1

Answer:

C

Just took the practice it was right

Answer 2

The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).

Step-by-step explanation:

The given is,

              The ordered pair that represents MP

                      M (2, -1)

                      P (-3, 4)

Step:1

          Distance formula can be used to calculate the magnitude,

          Formula to calculate magnitude of point MP is,

                     $Magnitude = \sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }$................(1)

         Where, $(x_{1}, x_{2} )$ and $(y_{1}, y_{2} )$ are points

         From the given values,

                           M (2, -1) -  $(x_{1}, y_{1} )$

                           P (-3,4)  -  $(x_{2}, y_{2} )$

         Equation (1) becomes,

            $Magnitude of MP = \sqrt{(-3-2)^{2}+(4 +1 )^{2} }$

                                         $= \sqrt{(-5)^{2}+(5 )^{2} }$

                                          $= \sqrt{25+25}$

                                          $= \sqrt{50}$

                                          = 7.07106 ≅ 7.07

            Magnitude of MP = 7.07

Result:

            The magnitude of ordered pair MP is 7.07, If the given points are M (2,-1) and P (-3, 4).